What is the Greatest Common Factor of 19116 and 19120?

Greatest common factor (GCF) of 19116 and 19120 is 4.

GCF(19116,19120) = 4

We will now calculate the prime factors of 19116 and 19120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19116 and 19120.

How to find the GCF of 19116 and 19120?

We will first find the prime factorization of 19116 and 19120. After we will calculate the factors of 19116 and 19120 and find the biggest common factor number .

Step-1: Prime Factorization of 19116

Prime factors of 19116 are 2, 3, 59. Prime factorization of 19116 in exponential form is:

19116 = 2² × 3⁴ × 59¹

Step-2: Prime Factorization of 19120

Prime factors of 19120 are 2, 5, 239. Prime factorization of 19120 in exponential form is:

19120 = 2⁴ × 5¹ × 239¹

Step-3: Factors of 19116

List of positive integer factors of 19116 that divides 19116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 324, 354, 531, 708, 1062, 1593, 2124, 3186, 4779, 6372, 9558

Step-4: Factors of 19120

List of positive integer factors of 19120 that divides 19116 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 9560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19116 and 19120. The biggest common factor number is the GCF number.
So the greatest common factor 19116 and 19120 is 4.

Also check out the Least Common Multiple of 19116 and 19120