What is the Greatest Common Factor of 79472 and 79492?

Greatest common factor (GCF) of 79472 and 79492 is 4.

GCF(79472,79492) = 4

We will now calculate the prime factors of 79472 and 79492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79472 and 79492.

How to find the GCF of 79472 and 79492?

We will first find the prime factorization of 79472 and 79492. After we will calculate the factors of 79472 and 79492 and find the biggest common factor number .

Step-1: Prime Factorization of 79472

Prime factors of 79472 are 2, 4967. Prime factorization of 79472 in exponential form is:

79472 = 2⁴ × 4967¹

Step-2: Prime Factorization of 79492

Prime factors of 79492 are 2, 7, 17, 167. Prime factorization of 79492 in exponential form is:

79492 = 2² × 7¹ × 17¹ × 167¹

Step-3: Factors of 79472

List of positive integer factors of 79472 that divides 79472 without a remainder.

1, 2, 4, 8, 16, 4967, 9934, 19868, 39736

Step-4: Factors of 79492

List of positive integer factors of 79492 that divides 79472 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 167, 238, 334, 476, 668, 1169, 2338, 2839, 4676, 5678, 11356, 19873, 39746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79472 and 79492. The biggest common factor number is the GCF number.
So the greatest common factor 79472 and 79492 is 4.

Also check out the Least Common Multiple of 79472 and 79492