What is the Greatest Common Factor of 77625 and 77629?

Greatest common factor (GCF) of 77625 and 77629 is 1.

GCF(77625,77629) = 1

We will now calculate the prime factors of 77625 and 77629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77625 and 77629.

How to find the GCF of 77625 and 77629?

We will first find the prime factorization of 77625 and 77629. After we will calculate the factors of 77625 and 77629 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 77629

Prime factors of 77629 are 149, 521. Prime factorization of 77629 in exponential form is:

77629 = 149¹ × 521¹

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 77629

List of positive integer factors of 77629 that divides 77625 without a remainder.

1, 149, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77625 and 77629. The biggest common factor number is the GCF number.
So the greatest common factor 77625 and 77629 is 1.

Also check out the Least Common Multiple of 77625 and 77629