What is the Greatest Common Factor of 19646 and 19664?

Greatest common factor (GCF) of 19646 and 19664 is 2.

GCF(19646,19664) = 2

We will now calculate the prime factors of 19646 and 19664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19646 and 19664.

How to find the GCF of 19646 and 19664?

We will first find the prime factorization of 19646 and 19664. After we will calculate the factors of 19646 and 19664 and find the biggest common factor number .

Step-1: Prime Factorization of 19646

Prime factors of 19646 are 2, 11, 19, 47. Prime factorization of 19646 in exponential form is:

19646 = 2¹ × 11¹ × 19¹ × 47¹

Step-2: Prime Factorization of 19664

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

19664 = 2⁴ × 1229¹

Step-3: Factors of 19646

List of positive integer factors of 19646 that divides 19646 without a remainder.

1, 2, 11, 19, 22, 38, 47, 94, 209, 418, 517, 893, 1034, 1786, 9823

Step-4: Factors of 19664

List of positive integer factors of 19664 that divides 19646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19646 and 19664. The biggest common factor number is the GCF number.
So the greatest common factor 19646 and 19664 is 2.

Also check out the Least Common Multiple of 19646 and 19664