What is the Greatest Common Factor of 77625 and 77635?

Greatest common factor (GCF) of 77625 and 77635 is 5.

GCF(77625,77635) = 5

We will now calculate the prime factors of 77625 and 77635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77625 and 77635.

How to find the GCF of 77625 and 77635?

We will first find the prime factorization of 77625 and 77635. After we will calculate the factors of 77625 and 77635 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 77635

Prime factors of 77635 are 5, 15527. Prime factorization of 77635 in exponential form is:

77635 = 5¹ × 15527¹

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 77635

List of positive integer factors of 77635 that divides 77625 without a remainder.

1, 5, 15527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77625 and 77635. The biggest common factor number is the GCF number.
So the greatest common factor 77625 and 77635 is 5.

Also check out the Least Common Multiple of 77625 and 77635