What is the Greatest Common Factor of 66972 and 66976?

Greatest common factor (GCF) of 66972 and 66976 is 4.

GCF(66972,66976) = 4

We will now calculate the prime factors of 66972 and 66976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66972 and 66976.

How to find the GCF of 66972 and 66976?

We will first find the prime factorization of 66972 and 66976. After we will calculate the factors of 66972 and 66976 and find the biggest common factor number .

Step-1: Prime Factorization of 66972

Prime factors of 66972 are 2, 3, 5581. Prime factorization of 66972 in exponential form is:

66972 = 2² × 3¹ × 5581¹

Step-2: 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-3: Factors of 66972

List of positive integer factors of 66972 that divides 66972 without a remainder.

1, 2, 3, 4, 6, 12, 5581, 11162, 16743, 22324, 33486

Step-4: Factors of 66976

List of positive integer factors of 66976 that divides 66972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66972 and 66976. The biggest common factor number is the GCF number.
So the greatest common factor 66972 and 66976 is 4.

Also check out the Least Common Multiple of 66972 and 66976