What is the Greatest Common Factor of 45109 and 45129?

Greatest common factor (GCF) of 45109 and 45129 is 1.

GCF(45109,45129) = 1

We will now calculate the prime factors of 45109 and 45129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45109 and 45129.

How to find the GCF of 45109 and 45129?

We will first find the prime factorization of 45109 and 45129. After we will calculate the factors of 45109 and 45129 and find the biggest common factor number .

Step-1: Prime Factorization of 45109

Prime factors of 45109 are 79, 571. Prime factorization of 45109 in exponential form is:

45109 = 79¹ × 571¹

Step-2: Prime Factorization of 45129

Prime factors of 45129 are 3, 7, 307. Prime factorization of 45129 in exponential form is:

45129 = 3¹ × 7² × 307¹

Step-3: Factors of 45109

List of positive integer factors of 45109 that divides 45109 without a remainder.

1, 79, 571

Step-4: Factors of 45129

List of positive integer factors of 45129 that divides 45109 without a remainder.

1, 3, 7, 21, 49, 147, 307, 921, 2149, 6447, 15043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45109 and 45129. The biggest common factor number is the GCF number.
So the greatest common factor 45109 and 45129 is 1.

Also check out the Least Common Multiple of 45109 and 45129