What is the Greatest Common Factor of 20688 and 20703?

Greatest common factor (GCF) of 20688 and 20703 is 3.

GCF(20688,20703) = 3

We will now calculate the prime factors of 20688 and 20703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20688 and 20703.

How to find the GCF of 20688 and 20703?

We will first find the prime factorization of 20688 and 20703. After we will calculate the factors of 20688 and 20703 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20703

Prime factors of 20703 are 3, 67, 103. Prime factorization of 20703 in exponential form is:

20703 = 3¹ × 67¹ × 103¹

Step-3: Factors of 20688

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

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

Step-4: Factors of 20703

List of positive integer factors of 20703 that divides 20688 without a remainder.

1, 3, 67, 103, 201, 309, 6901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20688 and 20703. The biggest common factor number is the GCF number.
So the greatest common factor 20688 and 20703 is 3.

Also check out the Least Common Multiple of 20688 and 20703