What is the Greatest Common Factor of 56625 and 56636?

Greatest common factor (GCF) of 56625 and 56636 is 1.

GCF(56625,56636) = 1

We will now calculate the prime factors of 56625 and 56636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56625 and 56636.

How to find the GCF of 56625 and 56636?

We will first find the prime factorization of 56625 and 56636. After we will calculate the factors of 56625 and 56636 and find the biggest common factor number .

Step-1: Prime Factorization of 56625

Prime factors of 56625 are 3, 5, 151. Prime factorization of 56625 in exponential form is:

56625 = 3¹ × 5³ × 151¹

Step-2: Prime Factorization of 56636

Prime factors of 56636 are 2, 14159. Prime factorization of 56636 in exponential form is:

56636 = 2² × 14159¹

Step-3: Factors of 56625

List of positive integer factors of 56625 that divides 56625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 151, 375, 453, 755, 2265, 3775, 11325, 18875

Step-4: Factors of 56636

List of positive integer factors of 56636 that divides 56625 without a remainder.

1, 2, 4, 14159, 28318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56625 and 56636. The biggest common factor number is the GCF number.
So the greatest common factor 56625 and 56636 is 1.

Also check out the Least Common Multiple of 56625 and 56636