What is the Greatest Common Factor of 45138 and 45147?

Greatest common factor (GCF) of 45138 and 45147 is 3.

GCF(45138,45147) = 3

We will now calculate the prime factors of 45138 and 45147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45138 and 45147.

How to find the GCF of 45138 and 45147?

We will first find the prime factorization of 45138 and 45147. After we will calculate the factors of 45138 and 45147 and find the biggest common factor number .

Step-1: Prime Factorization of 45138

Prime factors of 45138 are 2, 3, 7523. Prime factorization of 45138 in exponential form is:

45138 = 2¹ × 3¹ × 7523¹

Step-2: Prime Factorization of 45147

Prime factors of 45147 are 3, 101, 149. Prime factorization of 45147 in exponential form is:

45147 = 3¹ × 101¹ × 149¹

Step-3: Factors of 45138

List of positive integer factors of 45138 that divides 45138 without a remainder.

1, 2, 3, 6, 7523, 15046, 22569

Step-4: Factors of 45147

List of positive integer factors of 45147 that divides 45138 without a remainder.

1, 3, 101, 149, 303, 447, 15049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45138 and 45147. The biggest common factor number is the GCF number.
So the greatest common factor 45138 and 45147 is 3.

Also check out the Least Common Multiple of 45138 and 45147