What is the Greatest Common Factor of 45709 and 45729?

Greatest common factor (GCF) of 45709 and 45729 is 1.

GCF(45709,45729) = 1

We will now calculate the prime factors of 45709 and 45729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45709 and 45729.

How to find the GCF of 45709 and 45729?

We will first find the prime factorization of 45709 and 45729. After we will calculate the factors of 45709 and 45729 and find the biggest common factor number .

Step-1: Prime Factorization of 45709

Prime factors of 45709 are 43, 1063. Prime factorization of 45709 in exponential form is:

45709 = 43¹ × 1063¹

Step-2: Prime Factorization of 45729

Prime factors of 45729 are 3, 5081. Prime factorization of 45729 in exponential form is:

45729 = 3² × 5081¹

Step-3: Factors of 45709

List of positive integer factors of 45709 that divides 45709 without a remainder.

1, 43, 1063

Step-4: Factors of 45729

List of positive integer factors of 45729 that divides 45709 without a remainder.

1, 3, 9, 5081, 15243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45709 and 45729. The biggest common factor number is the GCF number.
So the greatest common factor 45709 and 45729 is 1.

Also check out the Least Common Multiple of 45709 and 45729