What is the Greatest Common Factor of 79844 and 79864?

Greatest common factor (GCF) of 79844 and 79864 is 4.

GCF(79844,79864) = 4

We will now calculate the prime factors of 79844 and 79864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79844 and 79864.

How to find the GCF of 79844 and 79864?

We will first find the prime factorization of 79844 and 79864. After we will calculate the factors of 79844 and 79864 and find the biggest common factor number .

Step-1: Prime Factorization of 79844

Prime factors of 79844 are 2, 19961. Prime factorization of 79844 in exponential form is:

79844 = 2² × 19961¹

Step-2: Prime Factorization of 79864

Prime factors of 79864 are 2, 67, 149. Prime factorization of 79864 in exponential form is:

79864 = 2³ × 67¹ × 149¹

Step-3: Factors of 79844

List of positive integer factors of 79844 that divides 79844 without a remainder.

1, 2, 4, 19961, 39922

Step-4: Factors of 79864

List of positive integer factors of 79864 that divides 79844 without a remainder.

1, 2, 4, 8, 67, 134, 149, 268, 298, 536, 596, 1192, 9983, 19966, 39932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79844 and 79864. The biggest common factor number is the GCF number.
So the greatest common factor 79844 and 79864 is 4.

Also check out the Least Common Multiple of 79844 and 79864