What is the Greatest Common Factor of 45116 and 45126?

Greatest common factor (GCF) of 45116 and 45126 is 2.

GCF(45116,45126) = 2

We will now calculate the prime factors of 45116 and 45126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45116 and 45126.

How to find the GCF of 45116 and 45126?

We will first find the prime factorization of 45116 and 45126. After we will calculate the factors of 45116 and 45126 and find the biggest common factor number .

Step-1: Prime Factorization of 45116

Prime factors of 45116 are 2, 11279. Prime factorization of 45116 in exponential form is:

45116 = 2² × 11279¹

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 45116

List of positive integer factors of 45116 that divides 45116 without a remainder.

1, 2, 4, 11279, 22558

Step-4: Factors of 45126

List of positive integer factors of 45126 that divides 45116 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 45116 and 45126. The biggest common factor number is the GCF number.
So the greatest common factor 45116 and 45126 is 2.

Also check out the Least Common Multiple of 45116 and 45126