What is the Greatest Common Factor of 66996 and 67012?

Greatest common factor (GCF) of 66996 and 67012 is 4.

GCF(66996,67012) = 4

We will now calculate the prime factors of 66996 and 67012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66996 and 67012.

How to find the GCF of 66996 and 67012?

We will first find the prime factorization of 66996 and 67012. After we will calculate the factors of 66996 and 67012 and find the biggest common factor number .

Step-1: Prime Factorization of 66996

Prime factors of 66996 are 2, 3, 1861. Prime factorization of 66996 in exponential form is:

66996 = 2² × 3² × 1861¹

Step-2: Prime Factorization of 67012

Prime factors of 67012 are 2, 11, 1523. Prime factorization of 67012 in exponential form is:

67012 = 2² × 11¹ × 1523¹

Step-3: Factors of 66996

List of positive integer factors of 66996 that divides 66996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1861, 3722, 5583, 7444, 11166, 16749, 22332, 33498

Step-4: Factors of 67012

List of positive integer factors of 67012 that divides 66996 without a remainder.

1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66996 and 67012. The biggest common factor number is the GCF number.
So the greatest common factor 66996 and 67012 is 4.

Also check out the Least Common Multiple of 66996 and 67012