What is the Greatest Common Factor of 66974 and 66978?

Greatest common factor (GCF) of 66974 and 66978 is 2.

GCF(66974,66978) = 2

We will now calculate the prime factors of 66974 and 66978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66974 and 66978.

How to find the GCF of 66974 and 66978?

We will first find the prime factorization of 66974 and 66978. After we will calculate the factors of 66974 and 66978 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 66978

Prime factors of 66978 are 2, 3, 61. Prime factorization of 66978 in exponential form is:

66978 = 2¹ × 3² × 61²

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 66978

List of positive integer factors of 66978 that divides 66974 without a remainder.

1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098, 3721, 7442, 11163, 22326, 33489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66974 and 66978. The biggest common factor number is the GCF number.
So the greatest common factor 66974 and 66978 is 2.

Also check out the Least Common Multiple of 66974 and 66978