What is the Greatest Common Factor of 66664 and 66678?

Greatest common factor (GCF) of 66664 and 66678 is 2.

GCF(66664,66678) = 2

We will now calculate the prime factors of 66664 and 66678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66664 and 66678.

How to find the GCF of 66664 and 66678?

We will first find the prime factorization of 66664 and 66678. After we will calculate the factors of 66664 and 66678 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 66678

Prime factors of 66678 are 2, 3, 11113. Prime factorization of 66678 in exponential form is:

66678 = 2¹ × 3¹ × 11113¹

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 66678

List of positive integer factors of 66678 that divides 66664 without a remainder.

1, 2, 3, 6, 11113, 22226, 33339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66664 and 66678. The biggest common factor number is the GCF number.
So the greatest common factor 66664 and 66678 is 2.

Also check out the Least Common Multiple of 66664 and 66678