What is the Greatest Common Factor of 58632 and 58644?

Greatest common factor (GCF) of 58632 and 58644 is 12.

GCF(58632,58644) = 12

We will now calculate the prime factors of 58632 and 58644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58632 and 58644.

How to find the GCF of 58632 and 58644?

We will first find the prime factorization of 58632 and 58644. After we will calculate the factors of 58632 and 58644 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 58644

Prime factors of 58644 are 2, 3, 181. Prime factorization of 58644 in exponential form is:

58644 = 2² × 3⁴ × 181¹

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 58644

List of positive integer factors of 58644 that divides 58632 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 181, 324, 362, 543, 724, 1086, 1629, 2172, 3258, 4887, 6516, 9774, 14661, 19548, 29322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58632 and 58644. The biggest common factor number is the GCF number.
So the greatest common factor 58632 and 58644 is 12.

Also check out the Least Common Multiple of 58632 and 58644