What is the Greatest Common Factor of 45657 and 45674?

Greatest common factor (GCF) of 45657 and 45674 is 1.

GCF(45657,45674) = 1

We will now calculate the prime factors of 45657 and 45674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45657 and 45674.

How to find the GCF of 45657 and 45674?

We will first find the prime factorization of 45657 and 45674. After we will calculate the factors of 45657 and 45674 and find the biggest common factor number .

Step-1: Prime Factorization of 45657

Prime factors of 45657 are 3, 19, 89. Prime factorization of 45657 in exponential form is:

45657 = 3³ × 19¹ × 89¹

Step-2: Prime Factorization of 45674

Prime factors of 45674 are 2, 41, 557. Prime factorization of 45674 in exponential form is:

45674 = 2¹ × 41¹ × 557¹

Step-3: Factors of 45657

List of positive integer factors of 45657 that divides 45657 without a remainder.

1, 3, 9, 19, 27, 57, 89, 171, 267, 513, 801, 1691, 2403, 5073, 15219

Step-4: Factors of 45674

List of positive integer factors of 45674 that divides 45657 without a remainder.

1, 2, 41, 82, 557, 1114, 22837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45657 and 45674. The biggest common factor number is the GCF number.
So the greatest common factor 45657 and 45674 is 1.

Also check out the Least Common Multiple of 45657 and 45674