What is the Greatest Common Factor of 45107 and 45126?

Greatest common factor (GCF) of 45107 and 45126 is 1.

GCF(45107,45126) = 1

We will now calculate the prime factors of 45107 and 45126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45107 and 45126.

How to find the GCF of 45107 and 45126?

We will first find the prime factorization of 45107 and 45126. After we will calculate the factors of 45107 and 45126 and find the biggest common factor number .

Step-1: Prime Factorization of 45107

Prime factors of 45107 are 43, 1049. Prime factorization of 45107 in exponential form is:

45107 = 43¹ × 1049¹

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 45107

List of positive integer factors of 45107 that divides 45107 without a remainder.

1, 43, 1049

Step-4: Factors of 45126

List of positive integer factors of 45126 that divides 45107 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 45107 and 45126. The biggest common factor number is the GCF number.
So the greatest common factor 45107 and 45126 is 1.

Also check out the Least Common Multiple of 45107 and 45126