What is the Greatest Common Factor of 45139 and 45156?

Greatest common factor (GCF) of 45139 and 45156 is 1.

GCF(45139,45156) = 1

We will now calculate the prime factors of 45139 and 45156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45139 and 45156.

How to find the GCF of 45139 and 45156?

We will first find the prime factorization of 45139 and 45156. After we will calculate the factors of 45139 and 45156 and find the biggest common factor number .

Step-1: Prime Factorization of 45139

Prime factors of 45139 are 45139. Prime factorization of 45139 in exponential form is:

45139 = 45139¹

Step-2: Prime Factorization of 45156

Prime factors of 45156 are 2, 3, 53, 71. Prime factorization of 45156 in exponential form is:

45156 = 2² × 3¹ × 53¹ × 71¹

Step-3: Factors of 45139

List of positive integer factors of 45139 that divides 45139 without a remainder.

Step-4: Factors of 45156

List of positive integer factors of 45156 that divides 45139 without a remainder.

1, 2, 3, 4, 6, 12, 53, 71, 106, 142, 159, 212, 213, 284, 318, 426, 636, 852, 3763, 7526, 11289, 15052, 22578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45139 and 45156. The biggest common factor number is the GCF number.
So the greatest common factor 45139 and 45156 is 1.

Also check out the Least Common Multiple of 45139 and 45156