What is the Greatest Common Factor of 20656 and 20671?

Greatest common factor (GCF) of 20656 and 20671 is 1.

GCF(20656,20671) = 1

We will now calculate the prime factors of 20656 and 20671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20656 and 20671.

How to find the GCF of 20656 and 20671?

We will first find the prime factorization of 20656 and 20671. After we will calculate the factors of 20656 and 20671 and find the biggest common factor number .

Step-1: Prime Factorization of 20656

Prime factors of 20656 are 2, 1291. Prime factorization of 20656 in exponential form is:

20656 = 2⁴ × 1291¹

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 20656

List of positive integer factors of 20656 that divides 20656 without a remainder.

1, 2, 4, 8, 16, 1291, 2582, 5164, 10328

Step-4: Factors of 20671

List of positive integer factors of 20671 that divides 20656 without a remainder.

1, 7, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20656 and 20671. The biggest common factor number is the GCF number.
So the greatest common factor 20656 and 20671 is 1.

Also check out the Least Common Multiple of 20656 and 20671