What is the Greatest Common Factor of 40944 and 40958?

Greatest common factor (GCF) of 40944 and 40958 is 2.

GCF(40944,40958) = 2

We will now calculate the prime factors of 40944 and 40958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40958.

How to find the GCF of 40944 and 40958?

We will first find the prime factorization of 40944 and 40958. After we will calculate the factors of 40944 and 40958 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 40958

Prime factors of 40958 are 2, 20479. Prime factorization of 40958 in exponential form is:

40958 = 2¹ × 20479¹

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 40958

List of positive integer factors of 40958 that divides 40944 without a remainder.

1, 2, 20479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40958. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40958 is 2.

Also check out the Least Common Multiple of 40944 and 40958