What is the Greatest Common Factor of 20674 and 20688?

Greatest common factor (GCF) of 20674 and 20688 is 2.

GCF(20674,20688) = 2

We will now calculate the prime factors of 20674 and 20688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20674 and 20688.

How to find the GCF of 20674 and 20688?

We will first find the prime factorization of 20674 and 20688. After we will calculate the factors of 20674 and 20688 and find the biggest common factor number .

Step-1: Prime Factorization of 20674

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

20674 = 2¹ × 10337¹

Step-2: Prime Factorization of 20688

Prime factors of 20688 are 2, 3, 431. Prime factorization of 20688 in exponential form is:

20688 = 2⁴ × 3¹ × 431¹

Step-3: Factors of 20674

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

1, 2, 10337

Step-4: Factors of 20688

List of positive integer factors of 20688 that divides 20674 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 431, 862, 1293, 1724, 2586, 3448, 5172, 6896, 10344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20674 and 20688. The biggest common factor number is the GCF number.
So the greatest common factor 20674 and 20688 is 2.

Also check out the Least Common Multiple of 20674 and 20688