What is the Greatest Common Factor of 20656 and 20676?

Greatest common factor (GCF) of 20656 and 20676 is 4.

GCF(20656,20676) = 4

We will now calculate the prime factors of 20656 and 20676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20656 and 20676.

How to find the GCF of 20656 and 20676?

We will first find the prime factorization of 20656 and 20676. After we will calculate the factors of 20656 and 20676 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 20676

Prime factors of 20676 are 2, 3, 1723. Prime factorization of 20676 in exponential form is:

20676 = 2² × 3¹ × 1723¹

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 20676

List of positive integer factors of 20676 that divides 20656 without a remainder.

1, 2, 3, 4, 6, 12, 1723, 3446, 5169, 6892, 10338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20656 and 20676. The biggest common factor number is the GCF number.
So the greatest common factor 20656 and 20676 is 4.

Also check out the Least Common Multiple of 20656 and 20676