What is the Greatest Common Factor of 66664 and 66677?

Greatest common factor (GCF) of 66664 and 66677 is 13.

GCF(66664,66677) = 13

We will now calculate the prime factors of 66664 and 66677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66664 and 66677.

How to find the GCF of 66664 and 66677?

We will first find the prime factorization of 66664 and 66677. After we will calculate the factors of 66664 and 66677 and find the biggest common factor number .

Step-1: Prime Factorization of 66664

Prime factors of 66664 are 2, 13, 641. Prime factorization of 66664 in exponential form is:

66664 = 2³ × 13¹ × 641¹

Step-2: Prime Factorization of 66677

Prime factors of 66677 are 13, 23, 223. Prime factorization of 66677 in exponential form is:

66677 = 13¹ × 23¹ × 223¹

Step-3: Factors of 66664

List of positive integer factors of 66664 that divides 66664 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 641, 1282, 2564, 5128, 8333, 16666, 33332

Step-4: Factors of 66677

List of positive integer factors of 66677 that divides 66664 without a remainder.

1, 13, 23, 223, 299, 2899, 5129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66664 and 66677. The biggest common factor number is the GCF number.
So the greatest common factor 66664 and 66677 is 13.

Also check out the Least Common Multiple of 66664 and 66677