What is the Greatest Common Factor of 58632 and 58639?

Greatest common factor (GCF) of 58632 and 58639 is 7.

GCF(58632,58639) = 7

We will now calculate the prime factors of 58632 and 58639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58632 and 58639.

How to find the GCF of 58632 and 58639?

We will first find the prime factorization of 58632 and 58639. After we will calculate the factors of 58632 and 58639 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 58639

Prime factors of 58639 are 7, 8377. Prime factorization of 58639 in exponential form is:

58639 = 7¹ × 8377¹

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 58639

List of positive integer factors of 58639 that divides 58632 without a remainder.

1, 7, 8377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58632 and 58639. The biggest common factor number is the GCF number.
So the greatest common factor 58632 and 58639 is 7.

Also check out the Least Common Multiple of 58632 and 58639