What is the Greatest Common Factor of 66944 and 66954?

Greatest common factor (GCF) of 66944 and 66954 is 2.

GCF(66944,66954) = 2

We will now calculate the prime factors of 66944 and 66954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66944 and 66954.

How to find the GCF of 66944 and 66954?

We will first find the prime factorization of 66944 and 66954. After we will calculate the factors of 66944 and 66954 and find the biggest common factor number .

Step-1: Prime Factorization of 66944

Prime factors of 66944 are 2, 523. Prime factorization of 66944 in exponential form is:

66944 = 2⁷ × 523¹

Step-2: Prime Factorization of 66954

Prime factors of 66954 are 2, 3, 11159. Prime factorization of 66954 in exponential form is:

66954 = 2¹ × 3¹ × 11159¹

Step-3: Factors of 66944

List of positive integer factors of 66944 that divides 66944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 523, 1046, 2092, 4184, 8368, 16736, 33472

Step-4: Factors of 66954

List of positive integer factors of 66954 that divides 66944 without a remainder.

1, 2, 3, 6, 11159, 22318, 33477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66944 and 66954. The biggest common factor number is the GCF number.
So the greatest common factor 66944 and 66954 is 2.

Also check out the Least Common Multiple of 66944 and 66954