What is the Greatest Common Factor of 45126 and 45138?

Greatest common factor (GCF) of 45126 and 45138 is 6.

GCF(45126,45138) = 6

We will now calculate the prime factors of 45126 and 45138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45126 and 45138.

How to find the GCF of 45126 and 45138?

We will first find the prime factorization of 45126 and 45138. After we will calculate the factors of 45126 and 45138 and find the biggest common factor number .

Step-1: Prime Factorization of 45126

Prime factors of 45126 are 2, 3, 23, 109. Prime factorization of 45126 in exponential form is:

45126 = 2¹ × 3² × 23¹ × 109¹

Step-2: 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-3: Factors of 45126

List of positive integer factors of 45126 that divides 45126 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 109, 138, 207, 218, 327, 414, 654, 981, 1962, 2507, 5014, 7521, 15042, 22563

Step-4: Factors of 45138

List of positive integer factors of 45138 that divides 45126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45126 and 45138. The biggest common factor number is the GCF number.
So the greatest common factor 45126 and 45138 is 6.

Also check out the Least Common Multiple of 45126 and 45138