What is the Greatest Common Factor of 79936 and 79946?

Greatest common factor (GCF) of 79936 and 79946 is 2.

GCF(79936,79946) = 2

We will now calculate the prime factors of 79936 and 79946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79936 and 79946.

How to find the GCF of 79936 and 79946?

We will first find the prime factorization of 79936 and 79946. After we will calculate the factors of 79936 and 79946 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 79946

Prime factors of 79946 are 2, 71, 563. Prime factorization of 79946 in exponential form is:

79946 = 2¹ × 71¹ × 563¹

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 79946

List of positive integer factors of 79946 that divides 79936 without a remainder.

1, 2, 71, 142, 563, 1126, 39973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79936 and 79946. The biggest common factor number is the GCF number.
So the greatest common factor 79936 and 79946 is 2.

Also check out the Least Common Multiple of 79936 and 79946