What is the Greatest Common Factor of 45709 and 45724?

Greatest common factor (GCF) of 45709 and 45724 is 1.

GCF(45709,45724) = 1

We will now calculate the prime factors of 45709 and 45724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45709 and 45724.

How to find the GCF of 45709 and 45724?

We will first find the prime factorization of 45709 and 45724. After we will calculate the factors of 45709 and 45724 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 45724

Prime factors of 45724 are 2, 7, 23, 71. Prime factorization of 45724 in exponential form is:

45724 = 2² × 7¹ × 23¹ × 71¹

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 45724

List of positive integer factors of 45724 that divides 45709 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 71, 92, 142, 161, 284, 322, 497, 644, 994, 1633, 1988, 3266, 6532, 11431, 22862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45709 and 45724. The biggest common factor number is the GCF number.
So the greatest common factor 45709 and 45724 is 1.

Also check out the Least Common Multiple of 45709 and 45724