What is the Greatest Common Factor of 20986 and 20992?

Greatest common factor (GCF) of 20986 and 20992 is 2.

GCF(20986,20992) = 2

We will now calculate the prime factors of 20986 and 20992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20986 and 20992.

How to find the GCF of 20986 and 20992?

We will first find the prime factorization of 20986 and 20992. After we will calculate the factors of 20986 and 20992 and find the biggest common factor number .

Step-1: Prime Factorization of 20986

Prime factors of 20986 are 2, 7, 1499. Prime factorization of 20986 in exponential form is:

20986 = 2¹ × 7¹ × 1499¹

Step-2: Prime Factorization of 20992

Prime factors of 20992 are 2, 41. Prime factorization of 20992 in exponential form is:

20992 = 2⁹ × 41¹

Step-3: Factors of 20986

List of positive integer factors of 20986 that divides 20986 without a remainder.

1, 2, 7, 14, 1499, 2998, 10493

Step-4: Factors of 20992

List of positive integer factors of 20992 that divides 20986 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1312, 2624, 5248, 10496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20986 and 20992. The biggest common factor number is the GCF number.
So the greatest common factor 20986 and 20992 is 2.

Also check out the Least Common Multiple of 20986 and 20992