What is the Greatest Common Factor of 77356 and 77375?

Greatest common factor (GCF) of 77356 and 77375 is 1.

GCF(77356,77375) = 1

We will now calculate the prime factors of 77356 and 77375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77356 and 77375.

How to find the GCF of 77356 and 77375?

We will first find the prime factorization of 77356 and 77375. After we will calculate the factors of 77356 and 77375 and find the biggest common factor number .

Step-1: Prime Factorization of 77356

Prime factors of 77356 are 2, 83, 233. Prime factorization of 77356 in exponential form is:

77356 = 2² × 83¹ × 233¹

Step-2: Prime Factorization of 77375

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

77375 = 5³ × 619¹

Step-3: Factors of 77356

List of positive integer factors of 77356 that divides 77356 without a remainder.

1, 2, 4, 83, 166, 233, 332, 466, 932, 19339, 38678

Step-4: Factors of 77375

List of positive integer factors of 77375 that divides 77356 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77356 and 77375. The biggest common factor number is the GCF number.
So the greatest common factor 77356 and 77375 is 1.

Also check out the Least Common Multiple of 77356 and 77375