What is the Greatest Common Factor of 77625 and 77633?

Greatest common factor (GCF) of 77625 and 77633 is 1.

GCF(77625,77633) = 1

We will now calculate the prime factors of 77625 and 77633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77625 and 77633.

How to find the GCF of 77625 and 77633?

We will first find the prime factorization of 77625 and 77633. After we will calculate the factors of 77625 and 77633 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 77633

Prime factors of 77633 are 29, 2677. Prime factorization of 77633 in exponential form is:

77633 = 29¹ × 2677¹

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 77633

List of positive integer factors of 77633 that divides 77625 without a remainder.

1, 29, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77625 and 77633. The biggest common factor number is the GCF number.
So the greatest common factor 77625 and 77633 is 1.

Also check out the Least Common Multiple of 77625 and 77633