What is the Greatest Common Factor of 66981 and 66996?

Greatest common factor (GCF) of 66981 and 66996 is 3.

GCF(66981,66996) = 3

We will now calculate the prime factors of 66981 and 66996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66981 and 66996.

How to find the GCF of 66981 and 66996?

We will first find the prime factorization of 66981 and 66996. After we will calculate the factors of 66981 and 66996 and find the biggest common factor number .

Step-1: Prime Factorization of 66981

Prime factors of 66981 are 3, 83, 269. Prime factorization of 66981 in exponential form is:

66981 = 3¹ × 83¹ × 269¹

Step-2: 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-3: Factors of 66981

List of positive integer factors of 66981 that divides 66981 without a remainder.

1, 3, 83, 249, 269, 807, 22327

Step-4: Factors of 66996

List of positive integer factors of 66996 that divides 66981 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66981 and 66996. The biggest common factor number is the GCF number.
So the greatest common factor 66981 and 66996 is 3.

Also check out the Least Common Multiple of 66981 and 66996