What is the Greatest Common Factor of 79008 and 79012?

Greatest common factor (GCF) of 79008 and 79012 is 4.

GCF(79008,79012) = 4

We will now calculate the prime factors of 79008 and 79012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79008 and 79012.

How to find the GCF of 79008 and 79012?

We will first find the prime factorization of 79008 and 79012. After we will calculate the factors of 79008 and 79012 and find the biggest common factor number .

Step-1: Prime Factorization of 79008

Prime factors of 79008 are 2, 3, 823. Prime factorization of 79008 in exponential form is:

79008 = 2⁵ × 3¹ × 823¹

Step-2: Prime Factorization of 79012

Prime factors of 79012 are 2, 19753. Prime factorization of 79012 in exponential form is:

79012 = 2² × 19753¹

Step-3: Factors of 79008

List of positive integer factors of 79008 that divides 79008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752, 26336, 39504

Step-4: Factors of 79012

List of positive integer factors of 79012 that divides 79008 without a remainder.

1, 2, 4, 19753, 39506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79008 and 79012. The biggest common factor number is the GCF number.
So the greatest common factor 79008 and 79012 is 4.

Also check out the Least Common Multiple of 79008 and 79012