What is the Greatest Common Factor of 45154 and 45172?

Greatest common factor (GCF) of 45154 and 45172 is 2.

GCF(45154,45172) = 2

We will now calculate the prime factors of 45154 and 45172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45154 and 45172.

How to find the GCF of 45154 and 45172?

We will first find the prime factorization of 45154 and 45172. After we will calculate the factors of 45154 and 45172 and find the biggest common factor number .

Step-1: Prime Factorization of 45154

Prime factors of 45154 are 2, 107, 211. Prime factorization of 45154 in exponential form is:

45154 = 2¹ × 107¹ × 211¹

Step-2: Prime Factorization of 45172

Prime factors of 45172 are 2, 23, 491. Prime factorization of 45172 in exponential form is:

45172 = 2² × 23¹ × 491¹

Step-3: Factors of 45154

List of positive integer factors of 45154 that divides 45154 without a remainder.

1, 2, 107, 211, 214, 422, 22577

Step-4: Factors of 45172

List of positive integer factors of 45172 that divides 45154 without a remainder.

1, 2, 4, 23, 46, 92, 491, 982, 1964, 11293, 22586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45154 and 45172. The biggest common factor number is the GCF number.
So the greatest common factor 45154 and 45172 is 2.

Also check out the Least Common Multiple of 45154 and 45172