What is the Greatest Common Factor of 19664 and 19674?

Greatest common factor (GCF) of 19664 and 19674 is 2.

GCF(19664,19674) = 2

We will now calculate the prime factors of 19664 and 19674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19664 and 19674.

How to find the GCF of 19664 and 19674?

We will first find the prime factorization of 19664 and 19674. After we will calculate the factors of 19664 and 19674 and find the biggest common factor number .

Step-1: Prime Factorization of 19664

Prime factors of 19664 are 2, 1229. Prime factorization of 19664 in exponential form is:

19664 = 2⁴ × 1229¹

Step-2: Prime Factorization of 19674

Prime factors of 19674 are 2, 3, 1093. Prime factorization of 19674 in exponential form is:

19674 = 2¹ × 3² × 1093¹

Step-3: Factors of 19664

List of positive integer factors of 19664 that divides 19664 without a remainder.

1, 2, 4, 8, 16, 1229, 2458, 4916, 9832

Step-4: Factors of 19674

List of positive integer factors of 19674 that divides 19664 without a remainder.

1, 2, 3, 6, 9, 18, 1093, 2186, 3279, 6558, 9837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19664 and 19674. The biggest common factor number is the GCF number.
So the greatest common factor 19664 and 19674 is 2.

Also check out the Least Common Multiple of 19664 and 19674