What is the Greatest Common Factor of 44948 and 44952?

Greatest common factor (GCF) of 44948 and 44952 is 4.

GCF(44948,44952) = 4

We will now calculate the prime factors of 44948 and 44952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44948 and 44952.

How to find the GCF of 44948 and 44952?

We will first find the prime factorization of 44948 and 44952. After we will calculate the factors of 44948 and 44952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44952

Prime factors of 44952 are 2, 3, 1873. Prime factorization of 44952 in exponential form is:

44952 = 2³ × 3¹ × 1873¹

Step-3: Factors of 44948

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

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

Step-4: Factors of 44952

List of positive integer factors of 44952 that divides 44948 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1873, 3746, 5619, 7492, 11238, 14984, 22476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44948 and 44952. The biggest common factor number is the GCF number.
So the greatest common factor 44948 and 44952 is 4.

Also check out the Least Common Multiple of 44948 and 44952