What is the Greatest Common Factor of 44682 and 44697?

Greatest common factor (GCF) of 44682 and 44697 is 3.

GCF(44682,44697) = 3

We will now calculate the prime factors of 44682 and 44697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44682 and 44697.

How to find the GCF of 44682 and 44697?

We will first find the prime factorization of 44682 and 44697. After we will calculate the factors of 44682 and 44697 and find the biggest common factor number .

Step-1: Prime Factorization of 44682

Prime factors of 44682 are 2, 3, 11, 677. Prime factorization of 44682 in exponential form is:

44682 = 2¹ × 3¹ × 11¹ × 677¹

Step-2: Prime Factorization of 44697

Prime factors of 44697 are 3, 47, 317. Prime factorization of 44697 in exponential form is:

44697 = 3¹ × 47¹ × 317¹

Step-3: Factors of 44682

List of positive integer factors of 44682 that divides 44682 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 677, 1354, 2031, 4062, 7447, 14894, 22341

Step-4: Factors of 44697

List of positive integer factors of 44697 that divides 44682 without a remainder.

1, 3, 47, 141, 317, 951, 14899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44682 and 44697. The biggest common factor number is the GCF number.
So the greatest common factor 44682 and 44697 is 3.

Also check out the Least Common Multiple of 44682 and 44697