What is the Greatest Common Factor of 45152 and 45157?

Greatest common factor (GCF) of 45152 and 45157 is 1.

GCF(45152,45157) = 1

We will now calculate the prime factors of 45152 and 45157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45152 and 45157.

How to find the GCF of 45152 and 45157?

We will first find the prime factorization of 45152 and 45157. After we will calculate the factors of 45152 and 45157 and find the biggest common factor number .

Step-1: Prime Factorization of 45152

Prime factors of 45152 are 2, 17, 83. Prime factorization of 45152 in exponential form is:

45152 = 2⁵ × 17¹ × 83¹

Step-2: Prime Factorization of 45157

Prime factors of 45157 are 7, 6451. Prime factorization of 45157 in exponential form is:

45157 = 7¹ × 6451¹

Step-3: Factors of 45152

List of positive integer factors of 45152 that divides 45152 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 83, 136, 166, 272, 332, 544, 664, 1328, 1411, 2656, 2822, 5644, 11288, 22576

Step-4: Factors of 45157

List of positive integer factors of 45157 that divides 45152 without a remainder.

1, 7, 6451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45152 and 45157. The biggest common factor number is the GCF number.
So the greatest common factor 45152 and 45157 is 1.

Also check out the Least Common Multiple of 45152 and 45157