What is the Greatest Common Factor of 44934 and 44949?

Greatest common factor (GCF) of 44934 and 44949 is 3.

GCF(44934,44949) = 3

We will now calculate the prime factors of 44934 and 44949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44934 and 44949.

How to find the GCF of 44934 and 44949?

We will first find the prime factorization of 44934 and 44949. After we will calculate the factors of 44934 and 44949 and find the biggest common factor number .

Step-1: Prime Factorization of 44934

Prime factors of 44934 are 2, 3, 7489. Prime factorization of 44934 in exponential form is:

44934 = 2¹ × 3¹ × 7489¹

Step-2: Prime Factorization of 44949

Prime factors of 44949 are 3, 14983. Prime factorization of 44949 in exponential form is:

44949 = 3¹ × 14983¹

Step-3: Factors of 44934

List of positive integer factors of 44934 that divides 44934 without a remainder.

1, 2, 3, 6, 7489, 14978, 22467

Step-4: Factors of 44949

List of positive integer factors of 44949 that divides 44934 without a remainder.

1, 3, 14983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44934 and 44949. The biggest common factor number is the GCF number.
So the greatest common factor 44934 and 44949 is 3.

Also check out the Least Common Multiple of 44934 and 44949