You list all the factors of each number, then compare the lists to find numbers that
are on both lists, then finally pick the highest of those.
Factors of 21: 1, 3, 7, and 21.
Factors of 630:
1, 2, 3, 5, 6, 7, 9, 10, 15, 18, 21, 30, 35, 42, 63, 70, 90, 105, 126, 210, 315, and 630.
Numbers on both lists (common factors): 1, 3, 7, and 21.
Highest common factor: 21
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The greatest common factor of 630 , 1155 = 105
The greatest common factor of 630 , 172 = 2
The greatest common factor of 630 , 84 = 42
To find the greatest common factor (GCF) of 336 and 630, we first need to find the prime factorization of each number. The prime factorization of 336 is 2^4 * 3 * 7 and the prime factorization of 630 is 2 * 3^2 * 5 * 7. To find the GCF, we take the highest power of each common prime factor, which is 2^1 * 3^1 * 7^1 = 42. Therefore, the greatest common factor of 336 and 630 is 42.
The GCF is 7.