What is the Greatest Common Factor of 44946 and 44957?

Greatest common factor (GCF) of 44946 and 44957 is 11.

GCF(44946,44957) = 11

We will now calculate the prime factors of 44946 and 44957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44946 and 44957.

How to find the GCF of 44946 and 44957?

We will first find the prime factorization of 44946 and 44957. After we will calculate the factors of 44946 and 44957 and find the biggest common factor number .

Step-1: Prime Factorization of 44946

Prime factors of 44946 are 2, 3, 11, 227. Prime factorization of 44946 in exponential form is:

44946 = 2¹ × 3² × 11¹ × 227¹

Step-2: Prime Factorization of 44957

Prime factors of 44957 are 11, 61, 67. Prime factorization of 44957 in exponential form is:

44957 = 11¹ × 61¹ × 67¹

Step-3: Factors of 44946

List of positive integer factors of 44946 that divides 44946 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 227, 454, 681, 1362, 2043, 2497, 4086, 4994, 7491, 14982, 22473

Step-4: Factors of 44957

List of positive integer factors of 44957 that divides 44946 without a remainder.

1, 11, 61, 67, 671, 737, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44946 and 44957. The biggest common factor number is the GCF number.
So the greatest common factor 44946 and 44957 is 11.

Also check out the Least Common Multiple of 44946 and 44957