What is the Greatest Common Factor of 66972 and 66977?

Greatest common factor (GCF) of 66972 and 66977 is 1.

GCF(66972,66977) = 1

We will now calculate the prime factors of 66972 and 66977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66972 and 66977.

How to find the GCF of 66972 and 66977?

We will first find the prime factorization of 66972 and 66977. After we will calculate the factors of 66972 and 66977 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 66977

Prime factors of 66977 are 66977. Prime factorization of 66977 in exponential form is:

66977 = 66977¹

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 66977

List of positive integer factors of 66977 that divides 66972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66972 and 66977. The biggest common factor number is the GCF number.
So the greatest common factor 66972 and 66977 is 1.

Also check out the Least Common Multiple of 66972 and 66977