What is the Greatest Common Factor of 20976 and 20988?

Greatest common factor (GCF) of 20976 and 20988 is 12.

GCF(20976,20988) = 12

We will now calculate the prime factors of 20976 and 20988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20976 and 20988.

How to find the GCF of 20976 and 20988?

We will first find the prime factorization of 20976 and 20988. After we will calculate the factors of 20976 and 20988 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 20988

Prime factors of 20988 are 2, 3, 11, 53. Prime factorization of 20988 in exponential form is:

20988 = 2² × 3² × 11¹ × 53¹

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 20988

List of positive integer factors of 20988 that divides 20976 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 53, 66, 99, 106, 132, 159, 198, 212, 318, 396, 477, 583, 636, 954, 1166, 1749, 1908, 2332, 3498, 5247, 6996, 10494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20976 and 20988. The biggest common factor number is the GCF number.
So the greatest common factor 20976 and 20988 is 12.

Also check out the Least Common Multiple of 20976 and 20988