What is the Greatest Common Factor of 20654 and 20671?

Greatest common factor (GCF) of 20654 and 20671 is 1.

GCF(20654,20671) = 1

We will now calculate the prime factors of 20654 and 20671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20654 and 20671.

How to find the GCF of 20654 and 20671?

We will first find the prime factorization of 20654 and 20671. After we will calculate the factors of 20654 and 20671 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 20671

Prime factors of 20671 are 7, 2953. Prime factorization of 20671 in exponential form is:

20671 = 7¹ × 2953¹

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 20671

List of positive integer factors of 20671 that divides 20654 without a remainder.

1, 7, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20654 and 20671. The biggest common factor number is the GCF number.
So the greatest common factor 20654 and 20671 is 1.

Also check out the Least Common Multiple of 20654 and 20671