What is the Greatest Common Factor of 45111 and 45126?

Greatest common factor (GCF) of 45111 and 45126 is 3.

GCF(45111,45126) = 3

We will now calculate the prime factors of 45111 and 45126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45111 and 45126.

How to find the GCF of 45111 and 45126?

We will first find the prime factorization of 45111 and 45126. After we will calculate the factors of 45111 and 45126 and find the biggest common factor number .

Step-1: Prime Factorization of 45111

Prime factors of 45111 are 3, 11, 1367. Prime factorization of 45111 in exponential form is:

45111 = 3¹ × 11¹ × 1367¹

Step-2: 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-3: Factors of 45111

List of positive integer factors of 45111 that divides 45111 without a remainder.

1, 3, 11, 33, 1367, 4101, 15037

Step-4: Factors of 45126

List of positive integer factors of 45126 that divides 45111 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45111 and 45126. The biggest common factor number is the GCF number.
So the greatest common factor 45111 and 45126 is 3.

Also check out the Least Common Multiple of 45111 and 45126