What is the Greatest Common Factor of 56625 and 56643?

Greatest common factor (GCF) of 56625 and 56643 is 3.

GCF(56625,56643) = 3

We will now calculate the prime factors of 56625 and 56643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56625 and 56643.

How to find the GCF of 56625 and 56643?

We will first find the prime factorization of 56625 and 56643. After we will calculate the factors of 56625 and 56643 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 56643

Prime factors of 56643 are 3, 79, 239. Prime factorization of 56643 in exponential form is:

56643 = 3¹ × 79¹ × 239¹

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 56643

List of positive integer factors of 56643 that divides 56625 without a remainder.

1, 3, 79, 237, 239, 717, 18881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56625 and 56643. The biggest common factor number is the GCF number.
So the greatest common factor 56625 and 56643 is 3.

Also check out the Least Common Multiple of 56625 and 56643