What is the Greatest Common Factor of 77164 and 77175?

Greatest common factor (GCF) of 77164 and 77175 is 1.

GCF(77164,77175) = 1

We will now calculate the prime factors of 77164 and 77175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77164 and 77175.

How to find the GCF of 77164 and 77175?

We will first find the prime factorization of 77164 and 77175. After we will calculate the factors of 77164 and 77175 and find the biggest common factor number .

Step-1: Prime Factorization of 77164

Prime factors of 77164 are 2, 101, 191. Prime factorization of 77164 in exponential form is:

77164 = 2² × 101¹ × 191¹

Step-2: Prime Factorization of 77175

Prime factors of 77175 are 3, 5, 7. Prime factorization of 77175 in exponential form is:

77175 = 3² × 5² × 7³

Step-3: Factors of 77164

List of positive integer factors of 77164 that divides 77164 without a remainder.

1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582

Step-4: Factors of 77175

List of positive integer factors of 77175 that divides 77164 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 343, 441, 525, 735, 1029, 1225, 1575, 1715, 2205, 3087, 3675, 5145, 8575, 11025, 15435, 25725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77164 and 77175. The biggest common factor number is the GCF number.
So the greatest common factor 77164 and 77175 is 1.

Also check out the Least Common Multiple of 77164 and 77175