What is the Greatest Common Factor of 79922 and 79936?

Greatest common factor (GCF) of 79922 and 79936 is 2.

GCF(79922,79936) = 2

We will now calculate the prime factors of 79922 and 79936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79922 and 79936.

How to find the GCF of 79922 and 79936?

We will first find the prime factorization of 79922 and 79936. After we will calculate the factors of 79922 and 79936 and find the biggest common factor number .

Step-1: Prime Factorization of 79922

Prime factors of 79922 are 2, 89, 449. Prime factorization of 79922 in exponential form is:

79922 = 2¹ × 89¹ × 449¹

Step-2: Prime Factorization of 79936

Prime factors of 79936 are 2, 1249. Prime factorization of 79936 in exponential form is:

79936 = 2⁶ × 1249¹

Step-3: Factors of 79922

List of positive integer factors of 79922 that divides 79922 without a remainder.

1, 2, 89, 178, 449, 898, 39961

Step-4: Factors of 79936

List of positive integer factors of 79936 that divides 79922 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1249, 2498, 4996, 9992, 19984, 39968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79922 and 79936. The biggest common factor number is the GCF number.
So the greatest common factor 79922 and 79936 is 2.

Also check out the Least Common Multiple of 79922 and 79936