What is the Greatest Common Factor of 79934 and 79951?

Greatest common factor (GCF) of 79934 and 79951 is 17.

GCF(79934,79951) = 17

We will now calculate the prime factors of 79934 and 79951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79934 and 79951.

How to find the GCF of 79934 and 79951?

We will first find the prime factorization of 79934 and 79951. After we will calculate the factors of 79934 and 79951 and find the biggest common factor number .

Step-1: Prime Factorization of 79934

Prime factors of 79934 are 2, 17, 2351. Prime factorization of 79934 in exponential form is:

79934 = 2¹ × 17¹ × 2351¹

Step-2: Prime Factorization of 79951

Prime factors of 79951 are 17, 4703. Prime factorization of 79951 in exponential form is:

79951 = 17¹ × 4703¹

Step-3: Factors of 79934

List of positive integer factors of 79934 that divides 79934 without a remainder.

1, 2, 17, 34, 2351, 4702, 39967

Step-4: Factors of 79951

List of positive integer factors of 79951 that divides 79934 without a remainder.

1, 17, 4703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79934 and 79951. The biggest common factor number is the GCF number.
So the greatest common factor 79934 and 79951 is 17.

Also check out the Least Common Multiple of 79934 and 79951