What is the Greatest Common Factor of 44931 and 44948?

Greatest common factor (GCF) of 44931 and 44948 is 17.

GCF(44931,44948) = 17

We will now calculate the prime factors of 44931 and 44948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44931 and 44948.

How to find the GCF of 44931 and 44948?

We will first find the prime factorization of 44931 and 44948. After we will calculate the factors of 44931 and 44948 and find the biggest common factor number .

Step-1: Prime Factorization of 44931

Prime factors of 44931 are 3, 17, 881. Prime factorization of 44931 in exponential form is:

44931 = 3¹ × 17¹ × 881¹

Step-2: Prime Factorization of 44948

Prime factors of 44948 are 2, 17, 661. Prime factorization of 44948 in exponential form is:

44948 = 2² × 17¹ × 661¹

Step-3: Factors of 44931

List of positive integer factors of 44931 that divides 44931 without a remainder.

1, 3, 17, 51, 881, 2643, 14977

Step-4: Factors of 44948

List of positive integer factors of 44948 that divides 44931 without a remainder.

1, 2, 4, 17, 34, 68, 661, 1322, 2644, 11237, 22474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44931 and 44948. The biggest common factor number is the GCF number.
So the greatest common factor 44931 and 44948 is 17.

Also check out the Least Common Multiple of 44931 and 44948