What is the Greatest Common Factor of 20638 and 20646?

Greatest common factor (GCF) of 20638 and 20646 is 2.

GCF(20638,20646) = 2

We will now calculate the prime factors of 20638 and 20646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20638 and 20646.

How to find the GCF of 20638 and 20646?

We will first find the prime factorization of 20638 and 20646. After we will calculate the factors of 20638 and 20646 and find the biggest common factor number .

Step-1: Prime Factorization of 20638

Prime factors of 20638 are 2, 17, 607. Prime factorization of 20638 in exponential form is:

20638 = 2¹ × 17¹ × 607¹

Step-2: Prime Factorization of 20646

Prime factors of 20646 are 2, 3, 31, 37. Prime factorization of 20646 in exponential form is:

20646 = 2¹ × 3² × 31¹ × 37¹

Step-3: Factors of 20638

List of positive integer factors of 20638 that divides 20638 without a remainder.

1, 2, 17, 34, 607, 1214, 10319

Step-4: Factors of 20646

List of positive integer factors of 20646 that divides 20638 without a remainder.

1, 2, 3, 6, 9, 18, 31, 37, 62, 74, 93, 111, 186, 222, 279, 333, 558, 666, 1147, 2294, 3441, 6882, 10323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20638 and 20646. The biggest common factor number is the GCF number.
So the greatest common factor 20638 and 20646 is 2.

Also check out the Least Common Multiple of 20638 and 20646