What is the Greatest Common Factor of 77475 and 77480?

Greatest common factor (GCF) of 77475 and 77480 is 5.

GCF(77475,77480) = 5

We will now calculate the prime factors of 77475 and 77480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77475 and 77480.

How to find the GCF of 77475 and 77480?

We will first find the prime factorization of 77475 and 77480. After we will calculate the factors of 77475 and 77480 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 77480

Prime factors of 77480 are 2, 5, 13, 149. Prime factorization of 77480 in exponential form is:

77480 = 2³ × 5¹ × 13¹ × 149¹

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 77480

List of positive integer factors of 77480 that divides 77475 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 149, 260, 298, 520, 596, 745, 1192, 1490, 1937, 2980, 3874, 5960, 7748, 9685, 15496, 19370, 38740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77475 and 77480. The biggest common factor number is the GCF number.
So the greatest common factor 77475 and 77480 is 5.

Also check out the Least Common Multiple of 77475 and 77480