What is the Greatest Common Factor of 66996 and 67002?

Greatest common factor (GCF) of 66996 and 67002 is 6.

GCF(66996,67002) = 6

We will now calculate the prime factors of 66996 and 67002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66996 and 67002.

How to find the GCF of 66996 and 67002?

We will first find the prime factorization of 66996 and 67002. After we will calculate the factors of 66996 and 67002 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 67002

Prime factors of 67002 are 2, 3, 13, 859. Prime factorization of 67002 in exponential form is:

67002 = 2¹ × 3¹ × 13¹ × 859¹

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 67002

List of positive integer factors of 67002 that divides 66996 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66996 and 67002. The biggest common factor number is the GCF number.
So the greatest common factor 66996 and 67002 is 6.

Also check out the Least Common Multiple of 66996 and 67002