What is the Greatest Common Factor of 66969 and 66984?

Greatest common factor (GCF) of 66969 and 66984 is 3.

GCF(66969,66984) = 3

We will now calculate the prime factors of 66969 and 66984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66969 and 66984.

How to find the GCF of 66969 and 66984?

We will first find the prime factorization of 66969 and 66984. After we will calculate the factors of 66969 and 66984 and find the biggest common factor number .

Step-1: Prime Factorization of 66969

Prime factors of 66969 are 3, 7, 1063. Prime factorization of 66969 in exponential form is:

66969 = 3² × 7¹ × 1063¹

Step-2: Prime Factorization of 66984

Prime factors of 66984 are 2, 3, 2791. Prime factorization of 66984 in exponential form is:

66984 = 2³ × 3¹ × 2791¹

Step-3: Factors of 66969

List of positive integer factors of 66969 that divides 66969 without a remainder.

1, 3, 7, 9, 21, 63, 1063, 3189, 7441, 9567, 22323

Step-4: Factors of 66984

List of positive integer factors of 66984 that divides 66969 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2791, 5582, 8373, 11164, 16746, 22328, 33492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66969 and 66984. The biggest common factor number is the GCF number.
So the greatest common factor 66969 and 66984 is 3.

Also check out the Least Common Multiple of 66969 and 66984