What is the Greatest Common Factor of 66974 and 66979?

Greatest common factor (GCF) of 66974 and 66979 is 1.

GCF(66974,66979) = 1

We will now calculate the prime factors of 66974 and 66979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66974 and 66979.

How to find the GCF of 66974 and 66979?

We will first find the prime factorization of 66974 and 66979. After we will calculate the factors of 66974 and 66979 and find the biggest common factor number .

Step-1: Prime Factorization of 66974

Prime factors of 66974 are 2, 33487. Prime factorization of 66974 in exponential form is:

66974 = 2¹ × 33487¹

Step-2: Prime Factorization of 66979

Prime factors of 66979 are 11, 6089. Prime factorization of 66979 in exponential form is:

66979 = 11¹ × 6089¹

Step-3: Factors of 66974

List of positive integer factors of 66974 that divides 66974 without a remainder.

1, 2, 33487

Step-4: Factors of 66979

List of positive integer factors of 66979 that divides 66974 without a remainder.

1, 11, 6089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66974 and 66979. The biggest common factor number is the GCF number.
So the greatest common factor 66974 and 66979 is 1.

Also check out the Least Common Multiple of 66974 and 66979