What is the Greatest Common Factor of 79256 and 79267?

Greatest common factor (GCF) of 79256 and 79267 is 1.

GCF(79256,79267) = 1

We will now calculate the prime factors of 79256 and 79267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79256 and 79267.

How to find the GCF of 79256 and 79267?

We will first find the prime factorization of 79256 and 79267. After we will calculate the factors of 79256 and 79267 and find the biggest common factor number .

Step-1: Prime Factorization of 79256

Prime factors of 79256 are 2, 9907. Prime factorization of 79256 in exponential form is:

79256 = 2³ × 9907¹

Step-2: Prime Factorization of 79267

Prime factors of 79267 are 31, 2557. Prime factorization of 79267 in exponential form is:

79267 = 31¹ × 2557¹

Step-3: Factors of 79256

List of positive integer factors of 79256 that divides 79256 without a remainder.

1, 2, 4, 8, 9907, 19814, 39628

Step-4: Factors of 79267

List of positive integer factors of 79267 that divides 79256 without a remainder.

1, 31, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79256 and 79267. The biggest common factor number is the GCF number.
So the greatest common factor 79256 and 79267 is 1.

Also check out the Least Common Multiple of 79256 and 79267