What is the Greatest Common Factor of 20967 and 20976?

Greatest common factor (GCF) of 20967 and 20976 is 3.

GCF(20967,20976) = 3

We will now calculate the prime factors of 20967 and 20976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20967 and 20976.

How to find the GCF of 20967 and 20976?

We will first find the prime factorization of 20967 and 20976. After we will calculate the factors of 20967 and 20976 and find the biggest common factor number .

Step-1: Prime Factorization of 20967

Prime factors of 20967 are 3, 29, 241. Prime factorization of 20967 in exponential form is:

20967 = 3¹ × 29¹ × 241¹

Step-2: 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-3: Factors of 20967

List of positive integer factors of 20967 that divides 20967 without a remainder.

1, 3, 29, 87, 241, 723, 6989

Step-4: Factors of 20976

List of positive integer factors of 20976 that divides 20967 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20967 and 20976. The biggest common factor number is the GCF number.
So the greatest common factor 20967 and 20976 is 3.

Also check out the Least Common Multiple of 20967 and 20976