What is the Greatest Common Factor of 58646 and 58656?

Greatest common factor (GCF) of 58646 and 58656 is 2.

GCF(58646,58656) = 2

We will now calculate the prime factors of 58646 and 58656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58646 and 58656.

How to find the GCF of 58646 and 58656?

We will first find the prime factorization of 58646 and 58656. After we will calculate the factors of 58646 and 58656 and find the biggest common factor number .

Step-1: Prime Factorization of 58646

Prime factors of 58646 are 2, 7, 59, 71. Prime factorization of 58646 in exponential form is:

58646 = 2¹ × 7¹ × 59¹ × 71¹

Step-2: Prime Factorization of 58656

Prime factors of 58656 are 2, 3, 13, 47. Prime factorization of 58656 in exponential form is:

58656 = 2⁵ × 3¹ × 13¹ × 47¹

Step-3: Factors of 58646

List of positive integer factors of 58646 that divides 58646 without a remainder.

1, 2, 7, 14, 59, 71, 118, 142, 413, 497, 826, 994, 4189, 8378, 29323

Step-4: Factors of 58656

List of positive integer factors of 58656 that divides 58646 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 47, 48, 52, 78, 94, 96, 104, 141, 156, 188, 208, 282, 312, 376, 416, 564, 611, 624, 752, 1128, 1222, 1248, 1504, 1833, 2256, 2444, 3666, 4512, 4888, 7332, 9776, 14664, 19552, 29328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58646 and 58656. The biggest common factor number is the GCF number.
So the greatest common factor 58646 and 58656 is 2.

Also check out the Least Common Multiple of 58646 and 58656