What is the Greatest Common Factor of 78651 and 78657?

Greatest common factor (GCF) of 78651 and 78657 is 3.

GCF(78651,78657) = 3

We will now calculate the prime factors of 78651 and 78657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78651 and 78657.

How to find the GCF of 78651 and 78657?

We will first find the prime factorization of 78651 and 78657. After we will calculate the factors of 78651 and 78657 and find the biggest common factor number .

Step-1: Prime Factorization of 78651

Prime factors of 78651 are 3, 971. Prime factorization of 78651 in exponential form is:

78651 = 3⁴ × 971¹

Step-2: 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-3: Factors of 78651

List of positive integer factors of 78651 that divides 78651 without a remainder.

1, 3, 9, 27, 81, 971, 2913, 8739, 26217

Step-4: Factors of 78657

List of positive integer factors of 78657 that divides 78651 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78651 and 78657. The biggest common factor number is the GCF number.
So the greatest common factor 78651 and 78657 is 3.

Also check out the Least Common Multiple of 78651 and 78657