What is the Greatest Common Factor of 78657 and 78665?

Greatest common factor (GCF) of 78657 and 78665 is 1.

GCF(78657,78665) = 1

We will now calculate the prime factors of 78657 and 78665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78657 and 78665.

How to find the GCF of 78657 and 78665?

We will first find the prime factorization of 78657 and 78665. After we will calculate the factors of 78657 and 78665 and find the biggest common factor number .

Step-1: Prime Factorization of 78657

Prime factors of 78657 are 3, 157, 167. Prime factorization of 78657 in exponential form is:

78657 = 3¹ × 157¹ × 167¹

Step-2: Prime Factorization of 78665

Prime factors of 78665 are 5, 15733. Prime factorization of 78665 in exponential form is:

78665 = 5¹ × 15733¹

Step-3: Factors of 78657

List of positive integer factors of 78657 that divides 78657 without a remainder.

1, 3, 157, 167, 471, 501, 26219

Step-4: Factors of 78665

List of positive integer factors of 78665 that divides 78657 without a remainder.

1, 5, 15733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78657 and 78665. The biggest common factor number is the GCF number.
So the greatest common factor 78657 and 78665 is 1.

Also check out the Least Common Multiple of 78657 and 78665