What is the Greatest Common Factor of 74196 and 74216?

Greatest common factor (GCF) of 74196 and 74216 is 4.

GCF(74196,74216) = 4

We will now calculate the prime factors of 74196 and 74216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74196 and 74216.

How to find the GCF of 74196 and 74216?

We will first find the prime factorization of 74196 and 74216. After we will calculate the factors of 74196 and 74216 and find the biggest common factor number .

Step-1: Prime Factorization of 74196

Prime factors of 74196 are 2, 3, 229. Prime factorization of 74196 in exponential form is:

74196 = 2² × 3⁴ × 229¹

Step-2: Prime Factorization of 74216

Prime factors of 74216 are 2, 9277. Prime factorization of 74216 in exponential form is:

74216 = 2³ × 9277¹

Step-3: Factors of 74196

List of positive integer factors of 74196 that divides 74196 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 229, 324, 458, 687, 916, 1374, 2061, 2748, 4122, 6183, 8244, 12366, 18549, 24732, 37098

Step-4: Factors of 74216

List of positive integer factors of 74216 that divides 74196 without a remainder.

1, 2, 4, 8, 9277, 18554, 37108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74196 and 74216. The biggest common factor number is the GCF number.
So the greatest common factor 74196 and 74216 is 4.

Also check out the Least Common Multiple of 74196 and 74216