What is the Greatest Common Factor of 19956 and 19976?

Greatest common factor (GCF) of 19956 and 19976 is 4.

GCF(19956,19976) = 4

We will now calculate the prime factors of 19956 and 19976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19956 and 19976.

How to find the GCF of 19956 and 19976?

We will first find the prime factorization of 19956 and 19976. After we will calculate the factors of 19956 and 19976 and find the biggest common factor number .

Step-1: Prime Factorization of 19956

Prime factors of 19956 are 2, 3, 1663. Prime factorization of 19956 in exponential form is:

19956 = 2² × 3¹ × 1663¹

Step-2: 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-3: Factors of 19956

List of positive integer factors of 19956 that divides 19956 without a remainder.

1, 2, 3, 4, 6, 12, 1663, 3326, 4989, 6652, 9978

Step-4: Factors of 19976

List of positive integer factors of 19976 that divides 19956 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19956 and 19976. The biggest common factor number is the GCF number.
So the greatest common factor 19956 and 19976 is 4.

Also check out the Least Common Multiple of 19956 and 19976