What is the Greatest Common Factor of 40944 and 40961?

Greatest common factor (GCF) of 40944 and 40961 is 1.

GCF(40944,40961) = 1

We will now calculate the prime factors of 40944 and 40961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40961.

How to find the GCF of 40944 and 40961?

We will first find the prime factorization of 40944 and 40961. After we will calculate the factors of 40944 and 40961 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 40961

Prime factors of 40961 are 40961. Prime factorization of 40961 in exponential form is:

40961 = 40961¹

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 40961

List of positive integer factors of 40961 that divides 40944 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40961. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40961 is 1.

Also check out the Least Common Multiple of 40944 and 40961