What is the Greatest Common Factor of 44944 and 44962?

Greatest common factor (GCF) of 44944 and 44962 is 2.

GCF(44944,44962) = 2

We will now calculate the prime factors of 44944 and 44962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44944 and 44962.

How to find the GCF of 44944 and 44962?

We will first find the prime factorization of 44944 and 44962. After we will calculate the factors of 44944 and 44962 and find the biggest common factor number .

Step-1: Prime Factorization of 44944

Prime factors of 44944 are 2, 53. Prime factorization of 44944 in exponential form is:

44944 = 2⁴ × 53²

Step-2: Prime Factorization of 44962

Prime factors of 44962 are 2, 22481. Prime factorization of 44962 in exponential form is:

44962 = 2¹ × 22481¹

Step-3: Factors of 44944

List of positive integer factors of 44944 that divides 44944 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848, 2809, 5618, 11236, 22472

Step-4: Factors of 44962

List of positive integer factors of 44962 that divides 44944 without a remainder.

1, 2, 22481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44944 and 44962. The biggest common factor number is the GCF number.
So the greatest common factor 44944 and 44962 is 2.

Also check out the Least Common Multiple of 44944 and 44962