What is the Greatest Common Factor of 19100 and 19120?

Greatest common factor (GCF) of 19100 and 19120 is 20.

GCF(19100,19120) = 20

We will now calculate the prime factors of 19100 and 19120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19100 and 19120.

How to find the GCF of 19100 and 19120?

We will first find the prime factorization of 19100 and 19120. After we will calculate the factors of 19100 and 19120 and find the biggest common factor number .

Step-1: Prime Factorization of 19100

Prime factors of 19100 are 2, 5, 191. Prime factorization of 19100 in exponential form is:

19100 = 2² × 5² × 191¹

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 19100

List of positive integer factors of 19100 that divides 19100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 191, 382, 764, 955, 1910, 3820, 4775, 9550

Step-4: Factors of 19120

List of positive integer factors of 19120 that divides 19100 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 19100 and 19120. The biggest common factor number is the GCF number.
So the greatest common factor 19100 and 19120 is 20.

Also check out the Least Common Multiple of 19100 and 19120