What is the Greatest Common Factor of 58632 and 58646?

Greatest common factor (GCF) of 58632 and 58646 is 14.

GCF(58632,58646) = 14

We will now calculate the prime factors of 58632 and 58646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58632 and 58646.

How to find the GCF of 58632 and 58646?

We will first find the prime factorization of 58632 and 58646. After we will calculate the factors of 58632 and 58646 and find the biggest common factor number .

Step-1: Prime Factorization of 58632

Prime factors of 58632 are 2, 3, 7, 349. Prime factorization of 58632 in exponential form is:

58632 = 2³ × 3¹ × 7¹ × 349¹

Step-2: 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-3: Factors of 58632

List of positive integer factors of 58632 that divides 58632 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 349, 698, 1047, 1396, 2094, 2443, 2792, 4188, 4886, 7329, 8376, 9772, 14658, 19544, 29316

Step-4: Factors of 58646

List of positive integer factors of 58646 that divides 58632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58632 and 58646. The biggest common factor number is the GCF number.
So the greatest common factor 58632 and 58646 is 14.

Also check out the Least Common Multiple of 58632 and 58646