What is the Greatest Common Factor of 20976 and 20985?

Greatest common factor (GCF) of 20976 and 20985 is 3.

GCF(20976,20985) = 3

We will now calculate the prime factors of 20976 and 20985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20976 and 20985.

How to find the GCF of 20976 and 20985?

We will first find the prime factorization of 20976 and 20985. After we will calculate the factors of 20976 and 20985 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 20985

Prime factors of 20985 are 3, 5, 1399. Prime factorization of 20985 in exponential form is:

20985 = 3¹ × 5¹ × 1399¹

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 20985

List of positive integer factors of 20985 that divides 20976 without a remainder.

1, 3, 5, 15, 1399, 4197, 6995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20976 and 20985. The biggest common factor number is the GCF number.
So the greatest common factor 20976 and 20985 is 3.

Also check out the Least Common Multiple of 20976 and 20985