What is the Greatest Common Factor of 40944 and 40948?

Greatest common factor (GCF) of 40944 and 40948 is 4.

GCF(40944,40948) = 4

We will now calculate the prime factors of 40944 and 40948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40948.

How to find the GCF of 40944 and 40948?

We will first find the prime factorization of 40944 and 40948. After we will calculate the factors of 40944 and 40948 and find the biggest common factor number .

Step-1: Prime Factorization of 40944

Prime factors of 40944 are 2, 3, 853. Prime factorization of 40944 in exponential form is:

40944 = 2⁴ × 3¹ × 853¹

Step-2: Prime Factorization of 40948

Prime factors of 40948 are 2, 29, 353. Prime factorization of 40948 in exponential form is:

40948 = 2² × 29¹ × 353¹

Step-3: Factors of 40944

List of positive integer factors of 40944 that divides 40944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 853, 1706, 2559, 3412, 5118, 6824, 10236, 13648, 20472

Step-4: Factors of 40948

List of positive integer factors of 40948 that divides 40944 without a remainder.

1, 2, 4, 29, 58, 116, 353, 706, 1412, 10237, 20474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40948. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40948 is 4.

Also check out the Least Common Multiple of 40944 and 40948