What is the Greatest Common Factor of 79936 and 79944?

Greatest common factor (GCF) of 79936 and 79944 is 8.

GCF(79936,79944) = 8

We will now calculate the prime factors of 79936 and 79944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79936 and 79944.

How to find the GCF of 79936 and 79944?

We will first find the prime factorization of 79936 and 79944. After we will calculate the factors of 79936 and 79944 and find the biggest common factor number .

Step-1: Prime Factorization of 79936

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

79936 = 2⁶ × 1249¹

Step-2: Prime Factorization of 79944

Prime factors of 79944 are 2, 3, 3331. Prime factorization of 79944 in exponential form is:

79944 = 2³ × 3¹ × 3331¹

Step-3: Factors of 79936

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

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

Step-4: Factors of 79944

List of positive integer factors of 79944 that divides 79936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3331, 6662, 9993, 13324, 19986, 26648, 39972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79936 and 79944. The biggest common factor number is the GCF number.
So the greatest common factor 79936 and 79944 is 8.

Also check out the Least Common Multiple of 79936 and 79944