What is the Greatest Common Factor of 79239 and 79251?

Greatest common factor (GCF) of 79239 and 79251 is 3.

GCF(79239,79251) = 3

We will now calculate the prime factors of 79239 and 79251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79239 and 79251.

How to find the GCF of 79239 and 79251?

We will first find the prime factorization of 79239 and 79251. After we will calculate the factors of 79239 and 79251 and find the biggest common factor number .

Step-1: Prime Factorization of 79239

Prime factors of 79239 are 3, 61, 433. Prime factorization of 79239 in exponential form is:

79239 = 3¹ × 61¹ × 433¹

Step-2: Prime Factorization of 79251

Prime factors of 79251 are 3, 26417. Prime factorization of 79251 in exponential form is:

79251 = 3¹ × 26417¹

Step-3: Factors of 79239

List of positive integer factors of 79239 that divides 79239 without a remainder.

1, 3, 61, 183, 433, 1299, 26413

Step-4: Factors of 79251

List of positive integer factors of 79251 that divides 79239 without a remainder.

1, 3, 26417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79239 and 79251. The biggest common factor number is the GCF number.
So the greatest common factor 79239 and 79251 is 3.

Also check out the Least Common Multiple of 79239 and 79251