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{
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"questionFrontendId": "2427",
"categoryTitle": "Algorithms",
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"title": "Number of Common Factors",
"titleSlug": "number-of-common-factors",
"content": "<p>Given two positive integers <code>a</code> and <code>b</code>, return <em>the number of <strong>common</strong> factors of </em><code>a</code><em> and </em><code>b</code>.</p>\n\n<p>An integer <code>x</code> is a <strong>common factor</strong> of <code>a</code> and <code>b</code> if <code>x</code> divides both <code>a</code> and <code>b</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 12, b = 6\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The common factors of 12 and 6 are 1, 2, 3, 6.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 25, b = 30\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The common factors of 25 and 30 are 1, 5.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= a, b &lt;= 1000</code></li>\n</ul>\n",
"translatedTitle": "公因子的数目",
"translatedContent": "<p>给你两个正整数 <code>a</code> 和 <code>b</code> ,返回 <code>a</code> 和 <code>b</code> 的 <strong>公</strong> 因子的数目。</p>\n\n<p>如果 <code>x</code> 可以同时整除 <code>a</code> 和 <code>b</code> ,则认为 <code>x</code> 是 <code>a</code> 和 <code>b</code> 的一个 <strong>公因子</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>a = 12, b = 6\n<strong>输出:</strong>4\n<strong>解释:</strong>12 和 6 的公因子是 1、2、3、6 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>a = 25, b = 30\n<strong>输出:</strong>2\n<strong>解释:</strong>25 和 30 的公因子是 1、5 。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= a, b &lt;= 1000</code></li>\n</ul>\n",
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"For each integer in range [1,1000], check if its divisible by both A and B."
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