What is the Greatest Common Factor of 45717 and 45724?

Greatest common factor (GCF) of 45717 and 45724 is 7.

GCF(45717,45724) = 7

We will now calculate the prime factors of 45717 and 45724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45717 and 45724.

How to find the GCF of 45717 and 45724?

We will first find the prime factorization of 45717 and 45724. After we will calculate the factors of 45717 and 45724 and find the biggest common factor number .

Step-1: Prime Factorization of 45717

Prime factors of 45717 are 3, 7, 311. Prime factorization of 45717 in exponential form is:

45717 = 3¹ × 7² × 311¹

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 45717

List of positive integer factors of 45717 that divides 45717 without a remainder.

1, 3, 7, 21, 49, 147, 311, 933, 2177, 6531, 15239

Step-4: Factors of 45724

List of positive integer factors of 45724 that divides 45717 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 45717 and 45724. The biggest common factor number is the GCF number.
So the greatest common factor 45717 and 45724 is 7.

Also check out the Least Common Multiple of 45717 and 45724