What is the Greatest Common Factor of 20976 and 20989?

Greatest common factor (GCF) of 20976 and 20989 is 1.

GCF(20976,20989) = 1

We will now calculate the prime factors of 20976 and 20989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20976 and 20989.

How to find the GCF of 20976 and 20989?

We will first find the prime factorization of 20976 and 20989. After we will calculate the factors of 20976 and 20989 and find the biggest common factor number .

Step-1: Prime Factorization of 20976

Prime factors of 20976 are 2, 3, 19, 23. Prime factorization of 20976 in exponential form is:

20976 = 2⁴ × 3¹ × 19¹ × 23¹

Step-2: Prime Factorization of 20989

Prime factors of 20989 are 139, 151. Prime factorization of 20989 in exponential form is:

20989 = 139¹ × 151¹

Step-3: Factors of 20976

List of positive integer factors of 20976 that divides 20976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 38, 46, 48, 57, 69, 76, 92, 114, 138, 152, 184, 228, 276, 304, 368, 437, 456, 552, 874, 912, 1104, 1311, 1748, 2622, 3496, 5244, 6992, 10488

Step-4: Factors of 20989

List of positive integer factors of 20989 that divides 20976 without a remainder.

1, 139, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20976 and 20989. The biggest common factor number is the GCF number.
So the greatest common factor 20976 and 20989 is 1.

Also check out the Least Common Multiple of 20976 and 20989