What is the Greatest Common Factor of 79216 and 79228?

Greatest common factor (GCF) of 79216 and 79228 is 4.

GCF(79216,79228) = 4

We will now calculate the prime factors of 79216 and 79228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79216 and 79228.

How to find the GCF of 79216 and 79228?

We will first find the prime factorization of 79216 and 79228. After we will calculate the factors of 79216 and 79228 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 79228

Prime factors of 79228 are 2, 29, 683. Prime factorization of 79228 in exponential form is:

79228 = 2² × 29¹ × 683¹

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 79228

List of positive integer factors of 79228 that divides 79216 without a remainder.

1, 2, 4, 29, 58, 116, 683, 1366, 2732, 19807, 39614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79216 and 79228. The biggest common factor number is the GCF number.
So the greatest common factor 79216 and 79228 is 4.

Also check out the Least Common Multiple of 79216 and 79228