What is the Greatest Common Factor of 66944 and 66958?

Greatest common factor (GCF) of 66944 and 66958 is 2.

GCF(66944,66958) = 2

We will now calculate the prime factors of 66944 and 66958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66944 and 66958.

How to find the GCF of 66944 and 66958?

We will first find the prime factorization of 66944 and 66958. After we will calculate the factors of 66944 and 66958 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 66958

Prime factors of 66958 are 2, 33479. Prime factorization of 66958 in exponential form is:

66958 = 2¹ × 33479¹

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 66958

List of positive integer factors of 66958 that divides 66944 without a remainder.

1, 2, 33479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66944 and 66958. The biggest common factor number is the GCF number.
So the greatest common factor 66944 and 66958 is 2.

Also check out the Least Common Multiple of 66944 and 66958