What is the Greatest Common Factor of 20984 and 20992?

Greatest common factor (GCF) of 20984 and 20992 is 8.

GCF(20984,20992) = 8

We will now calculate the prime factors of 20984 and 20992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20984 and 20992.

How to find the GCF of 20984 and 20992?

We will first find the prime factorization of 20984 and 20992. After we will calculate the factors of 20984 and 20992 and find the biggest common factor number .

Step-1: Prime Factorization of 20984

Prime factors of 20984 are 2, 43, 61. Prime factorization of 20984 in exponential form is:

20984 = 2³ × 43¹ × 61¹

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 20984

List of positive integer factors of 20984 that divides 20984 without a remainder.

1, 2, 4, 8, 43, 61, 86, 122, 172, 244, 344, 488, 2623, 5246, 10492

Step-4: Factors of 20992

List of positive integer factors of 20992 that divides 20984 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 20984 and 20992. The biggest common factor number is the GCF number.
So the greatest common factor 20984 and 20992 is 8.

Also check out the Least Common Multiple of 20984 and 20992