What is the Greatest Common Factor of 74189 and 74196?

Greatest common factor (GCF) of 74189 and 74196 is 1.

GCF(74189,74196) = 1

We will now calculate the prime factors of 74189 and 74196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74189 and 74196.

How to find the GCF of 74189 and 74196?

We will first find the prime factorization of 74189 and 74196. After we will calculate the factors of 74189 and 74196 and find the biggest common factor number .

Step-1: Prime Factorization of 74189

Prime factors of 74189 are 74189. Prime factorization of 74189 in exponential form is:

74189 = 74189¹

Step-2: 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-3: Factors of 74189

List of positive integer factors of 74189 that divides 74189 without a remainder.

Step-4: Factors of 74196

List of positive integer factors of 74196 that divides 74189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74189 and 74196. The biggest common factor number is the GCF number.
So the greatest common factor 74189 and 74196 is 1.

Also check out the Least Common Multiple of 74189 and 74196