What is the Greatest Common Factor of 45184 and 45196?

Greatest common factor (GCF) of 45184 and 45196 is 4.

GCF(45184,45196) = 4

We will now calculate the prime factors of 45184 and 45196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45184 and 45196.

How to find the GCF of 45184 and 45196?

We will first find the prime factorization of 45184 and 45196. After we will calculate the factors of 45184 and 45196 and find the biggest common factor number .

Step-1: Prime Factorization of 45184

Prime factors of 45184 are 2, 353. Prime factorization of 45184 in exponential form is:

45184 = 2⁷ × 353¹

Step-2: Prime Factorization of 45196

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

45196 = 2² × 11299¹

Step-3: Factors of 45184

List of positive integer factors of 45184 that divides 45184 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 353, 706, 1412, 2824, 5648, 11296, 22592

Step-4: Factors of 45196

List of positive integer factors of 45196 that divides 45184 without a remainder.

1, 2, 4, 11299, 22598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45184 and 45196. The biggest common factor number is the GCF number.
So the greatest common factor 45184 and 45196 is 4.

Also check out the Least Common Multiple of 45184 and 45196