What is the Greatest Common Factor of 45196 and 45212?

Greatest common factor (GCF) of 45196 and 45212 is 4.

GCF(45196,45212) = 4

We will now calculate the prime factors of 45196 and 45212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45196 and 45212.

How to find the GCF of 45196 and 45212?

We will first find the prime factorization of 45196 and 45212. After we will calculate the factors of 45196 and 45212 and find the biggest common factor number .

Step-1: Prime Factorization of 45196

Prime factors of 45196 are 2, 11299. Prime factorization of 45196 in exponential form is:

45196 = 2² × 11299¹

Step-2: Prime Factorization of 45212

Prime factors of 45212 are 2, 89, 127. Prime factorization of 45212 in exponential form is:

45212 = 2² × 89¹ × 127¹

Step-3: Factors of 45196

List of positive integer factors of 45196 that divides 45196 without a remainder.

1, 2, 4, 11299, 22598

Step-4: Factors of 45212

List of positive integer factors of 45212 that divides 45196 without a remainder.

1, 2, 4, 89, 127, 178, 254, 356, 508, 11303, 22606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45196 and 45212. The biggest common factor number is the GCF number.
So the greatest common factor 45196 and 45212 is 4.

Also check out the Least Common Multiple of 45196 and 45212