What is the Greatest Common Factor of 20672 and 20689?

Greatest common factor (GCF) of 20672 and 20689 is 17.

GCF(20672,20689) = 17

We will now calculate the prime factors of 20672 and 20689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20672 and 20689.

How to find the GCF of 20672 and 20689?

We will first find the prime factorization of 20672 and 20689. After we will calculate the factors of 20672 and 20689 and find the biggest common factor number .

Step-1: Prime Factorization of 20672

Prime factors of 20672 are 2, 17, 19. Prime factorization of 20672 in exponential form is:

20672 = 2⁶ × 17¹ × 19¹

Step-2: Prime Factorization of 20689

Prime factors of 20689 are 17, 1217. Prime factorization of 20689 in exponential form is:

20689 = 17¹ × 1217¹

Step-3: Factors of 20672

List of positive integer factors of 20672 that divides 20672 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2584, 5168, 10336

Step-4: Factors of 20689

List of positive integer factors of 20689 that divides 20672 without a remainder.

1, 17, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20672 and 20689. The biggest common factor number is the GCF number.
So the greatest common factor 20672 and 20689 is 17.

Also check out the Least Common Multiple of 20672 and 20689