What is the Greatest Common Factor of 66944 and 66953?

Greatest common factor (GCF) of 66944 and 66953 is 1.

GCF(66944,66953) = 1

We will now calculate the prime factors of 66944 and 66953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66944 and 66953.

How to find the GCF of 66944 and 66953?

We will first find the prime factorization of 66944 and 66953. After we will calculate the factors of 66944 and 66953 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 66953

Prime factors of 66953 are 23, 41, 71. Prime factorization of 66953 in exponential form is:

66953 = 23¹ × 41¹ × 71¹

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 66953

List of positive integer factors of 66953 that divides 66944 without a remainder.

1, 23, 41, 71, 943, 1633, 2911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66944 and 66953. The biggest common factor number is the GCF number.
So the greatest common factor 66944 and 66953 is 1.

Also check out the Least Common Multiple of 66944 and 66953