What is the Greatest Common Factor of 77470 and 77475?

Greatest common factor (GCF) of 77470 and 77475 is 5.

GCF(77470,77475) = 5

We will now calculate the prime factors of 77470 and 77475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77470 and 77475.

How to find the GCF of 77470 and 77475?

We will first find the prime factorization of 77470 and 77475. After we will calculate the factors of 77470 and 77475 and find the biggest common factor number .

Step-1: Prime Factorization of 77470

Prime factors of 77470 are 2, 5, 61, 127. Prime factorization of 77470 in exponential form is:

77470 = 2¹ × 5¹ × 61¹ × 127¹

Step-2: 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-3: Factors of 77470

List of positive integer factors of 77470 that divides 77470 without a remainder.

1, 2, 5, 10, 61, 122, 127, 254, 305, 610, 635, 1270, 7747, 15494, 38735

Step-4: Factors of 77475

List of positive integer factors of 77475 that divides 77470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77470 and 77475. The biggest common factor number is the GCF number.
So the greatest common factor 77470 and 77475 is 5.

Also check out the Least Common Multiple of 77470 and 77475