What is the Greatest Common Factor of 66976 and 66983?

Greatest common factor (GCF) of 66976 and 66983 is 7.

GCF(66976,66983) = 7

We will now calculate the prime factors of 66976 and 66983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66976 and 66983.

How to find the GCF of 66976 and 66983?

We will first find the prime factorization of 66976 and 66983. After we will calculate the factors of 66976 and 66983 and find the biggest common factor number .

Step-1: Prime Factorization of 66976

Prime factors of 66976 are 2, 7, 13, 23. Prime factorization of 66976 in exponential form is:

66976 = 2⁵ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 66983

Prime factors of 66983 are 7, 1367. Prime factorization of 66983 in exponential form is:

66983 = 7² × 1367¹

Step-3: Factors of 66976

List of positive integer factors of 66976 that divides 66976 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 32, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 224, 299, 322, 364, 368, 416, 598, 644, 728, 736, 1196, 1288, 1456, 2093, 2392, 2576, 2912, 4186, 4784, 5152, 8372, 9568, 16744, 33488

Step-4: Factors of 66983

List of positive integer factors of 66983 that divides 66976 without a remainder.

1, 7, 49, 1367, 9569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66976 and 66983. The biggest common factor number is the GCF number.
So the greatest common factor 66976 and 66983 is 7.

Also check out the Least Common Multiple of 66976 and 66983