What is the Greatest Common Factor of 58632 and 58637?

Greatest common factor (GCF) of 58632 and 58637 is 1.

GCF(58632,58637) = 1

We will now calculate the prime factors of 58632 and 58637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58632 and 58637.

How to find the GCF of 58632 and 58637?

We will first find the prime factorization of 58632 and 58637. After we will calculate the factors of 58632 and 58637 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 58637

Prime factors of 58637 are 191, 307. Prime factorization of 58637 in exponential form is:

58637 = 191¹ × 307¹

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 58637

List of positive integer factors of 58637 that divides 58632 without a remainder.

1, 191, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58632 and 58637. The biggest common factor number is the GCF number.
So the greatest common factor 58632 and 58637 is 1.

Also check out the Least Common Multiple of 58632 and 58637