What is the Greatest Common Factor of 77625 and 77643?

Greatest common factor (GCF) of 77625 and 77643 is 9.

GCF(77625,77643) = 9

We will now calculate the prime factors of 77625 and 77643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77625 and 77643.

How to find the GCF of 77625 and 77643?

We will first find the prime factorization of 77625 and 77643. After we will calculate the factors of 77625 and 77643 and find the biggest common factor number .

Step-1: Prime Factorization of 77625

Prime factors of 77625 are 3, 5, 23. Prime factorization of 77625 in exponential form is:

77625 = 3³ × 5³ × 23¹

Step-2: Prime Factorization of 77643

Prime factors of 77643 are 3, 8627. Prime factorization of 77643 in exponential form is:

77643 = 3² × 8627¹

Step-3: Factors of 77625

List of positive integer factors of 77625 that divides 77625 without a remainder.

1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 125, 135, 207, 225, 345, 375, 575, 621, 675, 1035, 1125, 1725, 2875, 3105, 3375, 5175, 8625, 15525, 25875

Step-4: Factors of 77643

List of positive integer factors of 77643 that divides 77625 without a remainder.

1, 3, 9, 8627, 25881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77625 and 77643. The biggest common factor number is the GCF number.
So the greatest common factor 77625 and 77643 is 9.

Also check out the Least Common Multiple of 77625 and 77643