What is the Greatest Common Factor of 20654 and 20660?

Greatest common factor (GCF) of 20654 and 20660 is 2.

GCF(20654,20660) = 2

We will now calculate the prime factors of 20654 and 20660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20654 and 20660.

How to find the GCF of 20654 and 20660?

We will first find the prime factorization of 20654 and 20660. After we will calculate the factors of 20654 and 20660 and find the biggest common factor number .

Step-1: Prime Factorization of 20654

Prime factors of 20654 are 2, 23, 449. Prime factorization of 20654 in exponential form is:

20654 = 2¹ × 23¹ × 449¹

Step-2: Prime Factorization of 20660

Prime factors of 20660 are 2, 5, 1033. Prime factorization of 20660 in exponential form is:

20660 = 2² × 5¹ × 1033¹

Step-3: Factors of 20654

List of positive integer factors of 20654 that divides 20654 without a remainder.

1, 2, 23, 46, 449, 898, 10327

Step-4: Factors of 20660

List of positive integer factors of 20660 that divides 20654 without a remainder.

1, 2, 4, 5, 10, 20, 1033, 2066, 4132, 5165, 10330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20654 and 20660. The biggest common factor number is the GCF number.
So the greatest common factor 20654 and 20660 is 2.

Also check out the Least Common Multiple of 20654 and 20660