What is the Greatest Common Factor of 77607 and 77625?

Greatest common factor (GCF) of 77607 and 77625 is 9.

GCF(77607,77625) = 9

We will now calculate the prime factors of 77607 and 77625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77607 and 77625.

How to find the GCF of 77607 and 77625?

We will first find the prime factorization of 77607 and 77625. After we will calculate the factors of 77607 and 77625 and find the biggest common factor number .

Step-1: Prime Factorization of 77607

Prime factors of 77607 are 3, 8623. Prime factorization of 77607 in exponential form is:

77607 = 3² × 8623¹

Step-2: 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-3: Factors of 77607

List of positive integer factors of 77607 that divides 77607 without a remainder.

1, 3, 9, 8623, 25869

Step-4: Factors of 77625

List of positive integer factors of 77625 that divides 77607 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77607 and 77625. The biggest common factor number is the GCF number.
So the greatest common factor 77607 and 77625 is 9.

Also check out the Least Common Multiple of 77607 and 77625