What is the Greatest Common Factor of 40944 and 40951?

Greatest common factor (GCF) of 40944 and 40951 is 1.

GCF(40944,40951) = 1

We will now calculate the prime factors of 40944 and 40951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40951.

How to find the GCF of 40944 and 40951?

We will first find the prime factorization of 40944 and 40951. After we will calculate the factors of 40944 and 40951 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 40951

Prime factors of 40951 are 31, 1321. Prime factorization of 40951 in exponential form is:

40951 = 31¹ × 1321¹

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 40951

List of positive integer factors of 40951 that divides 40944 without a remainder.

1, 31, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40951. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40951 is 1.

Also check out the Least Common Multiple of 40944 and 40951