What is the Greatest Common Factor of 79004 and 79008?

Greatest common factor (GCF) of 79004 and 79008 is 4.

GCF(79004,79008) = 4

We will now calculate the prime factors of 79004 and 79008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79004 and 79008.

How to find the GCF of 79004 and 79008?

We will first find the prime factorization of 79004 and 79008. After we will calculate the factors of 79004 and 79008 and find the biggest common factor number .

Step-1: Prime Factorization of 79004

Prime factors of 79004 are 2, 19751. Prime factorization of 79004 in exponential form is:

79004 = 2² × 19751¹

Step-2: 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-3: Factors of 79004

List of positive integer factors of 79004 that divides 79004 without a remainder.

1, 2, 4, 19751, 39502

Step-4: Factors of 79008

List of positive integer factors of 79008 that divides 79004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79004 and 79008. The biggest common factor number is the GCF number.
So the greatest common factor 79004 and 79008 is 4.

Also check out the Least Common Multiple of 79004 and 79008