What is the Greatest Common Factor of 58626 and 58636?

Greatest common factor (GCF) of 58626 and 58636 is 2.

GCF(58626,58636) = 2

We will now calculate the prime factors of 58626 and 58636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58626 and 58636.

How to find the GCF of 58626 and 58636?

We will first find the prime factorization of 58626 and 58636. After we will calculate the factors of 58626 and 58636 and find the biggest common factor number .

Step-1: Prime Factorization of 58626

Prime factors of 58626 are 2, 3, 3257. Prime factorization of 58626 in exponential form is:

58626 = 2¹ × 3² × 3257¹

Step-2: Prime Factorization of 58636

Prime factors of 58636 are 2, 107, 137. Prime factorization of 58636 in exponential form is:

58636 = 2² × 107¹ × 137¹

Step-3: Factors of 58626

List of positive integer factors of 58626 that divides 58626 without a remainder.

1, 2, 3, 6, 9, 18, 3257, 6514, 9771, 19542, 29313

Step-4: Factors of 58636

List of positive integer factors of 58636 that divides 58626 without a remainder.

1, 2, 4, 107, 137, 214, 274, 428, 548, 14659, 29318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58626 and 58636. The biggest common factor number is the GCF number.
So the greatest common factor 58626 and 58636 is 2.

Also check out the Least Common Multiple of 58626 and 58636