What is the Greatest Common Factor of 77375 and 77380?

Greatest common factor (GCF) of 77375 and 77380 is 5.

GCF(77375,77380) = 5

We will now calculate the prime factors of 77375 and 77380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77375 and 77380.

How to find the GCF of 77375 and 77380?

We will first find the prime factorization of 77375 and 77380. After we will calculate the factors of 77375 and 77380 and find the biggest common factor number .

Step-1: Prime Factorization of 77375

Prime factors of 77375 are 5, 619. Prime factorization of 77375 in exponential form is:

77375 = 5³ × 619¹

Step-2: Prime Factorization of 77380

Prime factors of 77380 are 2, 5, 53, 73. Prime factorization of 77380 in exponential form is:

77380 = 2² × 5¹ × 53¹ × 73¹

Step-3: Factors of 77375

List of positive integer factors of 77375 that divides 77375 without a remainder.

1, 5, 25, 125, 619, 3095, 15475

Step-4: Factors of 77380

List of positive integer factors of 77380 that divides 77375 without a remainder.

1, 2, 4, 5, 10, 20, 53, 73, 106, 146, 212, 265, 292, 365, 530, 730, 1060, 1460, 3869, 7738, 15476, 19345, 38690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77375 and 77380. The biggest common factor number is the GCF number.
So the greatest common factor 77375 and 77380 is 5.

Also check out the Least Common Multiple of 77375 and 77380