What is the Greatest Common Factor of 19976 and 19984?

Greatest common factor (GCF) of 19976 and 19984 is 8.

GCF(19976,19984) = 8

We will now calculate the prime factors of 19976 and 19984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19976 and 19984.

How to find the GCF of 19976 and 19984?

We will first find the prime factorization of 19976 and 19984. After we will calculate the factors of 19976 and 19984 and find the biggest common factor number .

Step-1: Prime Factorization of 19976

Prime factors of 19976 are 2, 11, 227. Prime factorization of 19976 in exponential form is:

19976 = 2³ × 11¹ × 227¹

Step-2: Prime Factorization of 19984

Prime factors of 19984 are 2, 1249. Prime factorization of 19984 in exponential form is:

19984 = 2⁴ × 1249¹

Step-3: Factors of 19976

List of positive integer factors of 19976 that divides 19976 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 227, 454, 908, 1816, 2497, 4994, 9988

Step-4: Factors of 19984

List of positive integer factors of 19984 that divides 19976 without a remainder.

1, 2, 4, 8, 16, 1249, 2498, 4996, 9992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19976 and 19984. The biggest common factor number is the GCF number.
So the greatest common factor 19976 and 19984 is 8.

Also check out the Least Common Multiple of 19976 and 19984