What is the Greatest Common Factor of 58628 and 58634?

Greatest common factor (GCF) of 58628 and 58634 is 2.

GCF(58628,58634) = 2

We will now calculate the prime factors of 58628 and 58634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58628 and 58634.

How to find the GCF of 58628 and 58634?

We will first find the prime factorization of 58628 and 58634. After we will calculate the factors of 58628 and 58634 and find the biggest common factor number .

Step-1: Prime Factorization of 58628

Prime factors of 58628 are 2, 14657. Prime factorization of 58628 in exponential form is:

58628 = 2² × 14657¹

Step-2: Prime Factorization of 58634

Prime factors of 58634 are 2, 19, 1543. Prime factorization of 58634 in exponential form is:

58634 = 2¹ × 19¹ × 1543¹

Step-3: Factors of 58628

List of positive integer factors of 58628 that divides 58628 without a remainder.

1, 2, 4, 14657, 29314

Step-4: Factors of 58634

List of positive integer factors of 58634 that divides 58628 without a remainder.

1, 2, 19, 38, 1543, 3086, 29317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58628 and 58634. The biggest common factor number is the GCF number.
So the greatest common factor 58628 and 58634 is 2.

Also check out the Least Common Multiple of 58628 and 58634