What is the Greatest Common Factor of 66972 and 66986?

Greatest common factor (GCF) of 66972 and 66986 is 2.

GCF(66972,66986) = 2

We will now calculate the prime factors of 66972 and 66986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66972 and 66986.

How to find the GCF of 66972 and 66986?

We will first find the prime factorization of 66972 and 66986. After we will calculate the factors of 66972 and 66986 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 66986

Prime factors of 66986 are 2, 33493. Prime factorization of 66986 in exponential form is:

66986 = 2¹ × 33493¹

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 66986

List of positive integer factors of 66986 that divides 66972 without a remainder.

1, 2, 33493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66972 and 66986. The biggest common factor number is the GCF number.
So the greatest common factor 66972 and 66986 is 2.

Also check out the Least Common Multiple of 66972 and 66986