What is the Greatest Common Factor of 79216 and 79224?

Greatest common factor (GCF) of 79216 and 79224 is 8.

GCF(79216,79224) = 8

We will now calculate the prime factors of 79216 and 79224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79216 and 79224.

How to find the GCF of 79216 and 79224?

We will first find the prime factorization of 79216 and 79224. After we will calculate the factors of 79216 and 79224 and find the biggest common factor number .

Step-1: Prime Factorization of 79216

Prime factors of 79216 are 2, 4951. Prime factorization of 79216 in exponential form is:

79216 = 2⁴ × 4951¹

Step-2: Prime Factorization of 79224

Prime factors of 79224 are 2, 3, 3301. Prime factorization of 79224 in exponential form is:

79224 = 2³ × 3¹ × 3301¹

Step-3: Factors of 79216

List of positive integer factors of 79216 that divides 79216 without a remainder.

1, 2, 4, 8, 16, 4951, 9902, 19804, 39608

Step-4: Factors of 79224

List of positive integer factors of 79224 that divides 79216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3301, 6602, 9903, 13204, 19806, 26408, 39612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79216 and 79224. The biggest common factor number is the GCF number.
So the greatest common factor 79216 and 79224 is 8.

Also check out the Least Common Multiple of 79216 and 79224