What is the Greatest Common Factor of 20656 and 20674?

Greatest common factor (GCF) of 20656 and 20674 is 2.

GCF(20656,20674) = 2

We will now calculate the prime factors of 20656 and 20674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20656 and 20674.

How to find the GCF of 20656 and 20674?

We will first find the prime factorization of 20656 and 20674. After we will calculate the factors of 20656 and 20674 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 20674

Prime factors of 20674 are 2, 10337. Prime factorization of 20674 in exponential form is:

20674 = 2¹ × 10337¹

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 20674

List of positive integer factors of 20674 that divides 20656 without a remainder.

1, 2, 10337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20656 and 20674. The biggest common factor number is the GCF number.
So the greatest common factor 20656 and 20674 is 2.

Also check out the Least Common Multiple of 20656 and 20674