What is the Greatest Common Factor of 79051 and 79065?

Greatest common factor (GCF) of 79051 and 79065 is 7.

GCF(79051,79065) = 7

We will now calculate the prime factors of 79051 and 79065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79051 and 79065.

How to find the GCF of 79051 and 79065?

We will first find the prime factorization of 79051 and 79065. After we will calculate the factors of 79051 and 79065 and find the biggest common factor number .

Step-1: Prime Factorization of 79051

Prime factors of 79051 are 7, 23, 491. Prime factorization of 79051 in exponential form is:

79051 = 7¹ × 23¹ × 491¹

Step-2: Prime Factorization of 79065

Prime factors of 79065 are 3, 5, 7, 251. Prime factorization of 79065 in exponential form is:

79065 = 3² × 5¹ × 7¹ × 251¹

Step-3: Factors of 79051

List of positive integer factors of 79051 that divides 79051 without a remainder.

1, 7, 23, 161, 491, 3437, 11293

Step-4: Factors of 79065

List of positive integer factors of 79065 that divides 79051 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 251, 315, 753, 1255, 1757, 2259, 3765, 5271, 8785, 11295, 15813, 26355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79051 and 79065. The biggest common factor number is the GCF number.
So the greatest common factor 79051 and 79065 is 7.

Also check out the Least Common Multiple of 79051 and 79065