What is the Greatest Common Factor of 77475 and 77484?

Greatest common factor (GCF) of 77475 and 77484 is 3.

GCF(77475,77484) = 3

We will now calculate the prime factors of 77475 and 77484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77475 and 77484.

How to find the GCF of 77475 and 77484?

We will first find the prime factorization of 77475 and 77484. After we will calculate the factors of 77475 and 77484 and find the biggest common factor number .

Step-1: Prime Factorization of 77475

Prime factors of 77475 are 3, 5, 1033. Prime factorization of 77475 in exponential form is:

77475 = 3¹ × 5² × 1033¹

Step-2: Prime Factorization of 77484

Prime factors of 77484 are 2, 3, 11, 587. Prime factorization of 77484 in exponential form is:

77484 = 2² × 3¹ × 11¹ × 587¹

Step-3: Factors of 77475

List of positive integer factors of 77475 that divides 77475 without a remainder.

1, 3, 5, 15, 25, 75, 1033, 3099, 5165, 15495, 25825

Step-4: Factors of 77484

List of positive integer factors of 77484 that divides 77475 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348, 3522, 6457, 7044, 12914, 19371, 25828, 38742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77475 and 77484. The biggest common factor number is the GCF number.
So the greatest common factor 77475 and 77484 is 3.

Also check out the Least Common Multiple of 77475 and 77484