What is the Greatest Common Factor of 79245 and 79251?

Greatest common factor (GCF) of 79245 and 79251 is 3.

GCF(79245,79251) = 3

We will now calculate the prime factors of 79245 and 79251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79245 and 79251.

How to find the GCF of 79245 and 79251?

We will first find the prime factorization of 79245 and 79251. After we will calculate the factors of 79245 and 79251 and find the biggest common factor number .

Step-1: Prime Factorization of 79245

Prime factors of 79245 are 3, 5, 587. Prime factorization of 79245 in exponential form is:

79245 = 3³ × 5¹ × 587¹

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 79245

List of positive integer factors of 79245 that divides 79245 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 587, 1761, 2935, 5283, 8805, 15849, 26415

Step-4: Factors of 79251

List of positive integer factors of 79251 that divides 79245 without a remainder.

1, 3, 26417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79245 and 79251. The biggest common factor number is the GCF number.
So the greatest common factor 79245 and 79251 is 3.

Also check out the Least Common Multiple of 79245 and 79251