What is the Greatest Common Factor of 45152 and 45167?

Greatest common factor (GCF) of 45152 and 45167 is 1.

GCF(45152,45167) = 1

We will now calculate the prime factors of 45152 and 45167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45152 and 45167.

How to find the GCF of 45152 and 45167?

We will first find the prime factorization of 45152 and 45167. After we will calculate the factors of 45152 and 45167 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 45167

Prime factors of 45167 are 31, 47. Prime factorization of 45167 in exponential form is:

45167 = 31² × 47¹

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 45167

List of positive integer factors of 45167 that divides 45152 without a remainder.

1, 31, 47, 961, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45152 and 45167. The biggest common factor number is the GCF number.
So the greatest common factor 45152 and 45167 is 1.

Also check out the Least Common Multiple of 45152 and 45167