What is the Greatest Common Factor of 45674 and 45682?

Greatest common factor (GCF) of 45674 and 45682 is 2.

GCF(45674,45682) = 2

We will now calculate the prime factors of 45674 and 45682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45674 and 45682.

How to find the GCF of 45674 and 45682?

We will first find the prime factorization of 45674 and 45682. After we will calculate the factors of 45674 and 45682 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45682

Prime factors of 45682 are 2, 7, 13, 251. Prime factorization of 45682 in exponential form is:

45682 = 2¹ × 7¹ × 13¹ × 251¹

Step-3: Factors of 45674

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

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

Step-4: Factors of 45682

List of positive integer factors of 45682 that divides 45674 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 251, 502, 1757, 3263, 3514, 6526, 22841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45674 and 45682. The biggest common factor number is the GCF number.
So the greatest common factor 45674 and 45682 is 2.

Also check out the Least Common Multiple of 45674 and 45682