What is the Greatest Common Factor of 66974 and 66980?

Greatest common factor (GCF) of 66974 and 66980 is 2.

GCF(66974,66980) = 2

We will now calculate the prime factors of 66974 and 66980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66974 and 66980.

How to find the GCF of 66974 and 66980?

We will first find the prime factorization of 66974 and 66980. After we will calculate the factors of 66974 and 66980 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 66980

Prime factors of 66980 are 2, 5, 17, 197. Prime factorization of 66980 in exponential form is:

66980 = 2² × 5¹ × 17¹ × 197¹

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 66980

List of positive integer factors of 66980 that divides 66974 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 197, 340, 394, 788, 985, 1970, 3349, 3940, 6698, 13396, 16745, 33490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66974 and 66980. The biggest common factor number is the GCF number.
So the greatest common factor 66974 and 66980 is 2.

Also check out the Least Common Multiple of 66974 and 66980