What is the Greatest Common Factor of 20662 and 20672?

Greatest common factor (GCF) of 20662 and 20672 is 2.

GCF(20662,20672) = 2

We will now calculate the prime factors of 20662 and 20672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20662 and 20672.

How to find the GCF of 20662 and 20672?

We will first find the prime factorization of 20662 and 20672. After we will calculate the factors of 20662 and 20672 and find the biggest common factor number .

Step-1: Prime Factorization of 20662

Prime factors of 20662 are 2, 10331. Prime factorization of 20662 in exponential form is:

20662 = 2¹ × 10331¹

Step-2: 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-3: Factors of 20662

List of positive integer factors of 20662 that divides 20662 without a remainder.

1, 2, 10331

Step-4: Factors of 20672

List of positive integer factors of 20672 that divides 20662 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20662 and 20672. The biggest common factor number is the GCF number.
So the greatest common factor 20662 and 20672 is 2.

Also check out the Least Common Multiple of 20662 and 20672