What is the Greatest Common Factor of 19965 and 19976?

Greatest common factor (GCF) of 19965 and 19976 is 11.

GCF(19965,19976) = 11

We will now calculate the prime factors of 19965 and 19976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19965 and 19976.

How to find the GCF of 19965 and 19976?

We will first find the prime factorization of 19965 and 19976. After we will calculate the factors of 19965 and 19976 and find the biggest common factor number .

Step-1: Prime Factorization of 19965

Prime factors of 19965 are 3, 5, 11. Prime factorization of 19965 in exponential form is:

19965 = 3¹ × 5¹ × 11³

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 19965

List of positive integer factors of 19965 that divides 19965 without a remainder.

1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1331, 1815, 3993, 6655

Step-4: Factors of 19976

List of positive integer factors of 19976 that divides 19965 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 19965 and 19976. The biggest common factor number is the GCF number.
So the greatest common factor 19965 and 19976 is 11.

Also check out the Least Common Multiple of 19965 and 19976