What is the Greatest Common Factor of 56626 and 56632?

Greatest common factor (GCF) of 56626 and 56632 is 2.

GCF(56626,56632) = 2

We will now calculate the prime factors of 56626 and 56632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56626 and 56632.

How to find the GCF of 56626 and 56632?

We will first find the prime factorization of 56626 and 56632. After we will calculate the factors of 56626 and 56632 and find the biggest common factor number .

Step-1: Prime Factorization of 56626

Prime factors of 56626 are 2, 23, 1231. Prime factorization of 56626 in exponential form is:

56626 = 2¹ × 23¹ × 1231¹

Step-2: Prime Factorization of 56632

Prime factors of 56632 are 2, 7079. Prime factorization of 56632 in exponential form is:

56632 = 2³ × 7079¹

Step-3: Factors of 56626

List of positive integer factors of 56626 that divides 56626 without a remainder.

1, 2, 23, 46, 1231, 2462, 28313

Step-4: Factors of 56632

List of positive integer factors of 56632 that divides 56626 without a remainder.

1, 2, 4, 8, 7079, 14158, 28316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56626 and 56632. The biggest common factor number is the GCF number.
So the greatest common factor 56626 and 56632 is 2.

Also check out the Least Common Multiple of 56626 and 56632