What is the Greatest Common Factor of 77475 and 77481?

Greatest common factor (GCF) of 77475 and 77481 is 3.

GCF(77475,77481) = 3

We will now calculate the prime factors of 77475 and 77481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77475 and 77481.

How to find the GCF of 77475 and 77481?

We will first find the prime factorization of 77475 and 77481. After we will calculate the factors of 77475 and 77481 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 77481

Prime factors of 77481 are 3, 8609. Prime factorization of 77481 in exponential form is:

77481 = 3² × 8609¹

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 77481

List of positive integer factors of 77481 that divides 77475 without a remainder.

1, 3, 9, 8609, 25827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77475 and 77481. The biggest common factor number is the GCF number.
So the greatest common factor 77475 and 77481 is 3.

Also check out the Least Common Multiple of 77475 and 77481