What is the Greatest Common Factor of 19120 and 19132?

Greatest common factor (GCF) of 19120 and 19132 is 4.

GCF(19120,19132) = 4

We will now calculate the prime factors of 19120 and 19132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19120 and 19132.

How to find the GCF of 19120 and 19132?

We will first find the prime factorization of 19120 and 19132. After we will calculate the factors of 19120 and 19132 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19132

Prime factors of 19132 are 2, 4783. Prime factorization of 19132 in exponential form is:

19132 = 2² × 4783¹

Step-3: Factors of 19120

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

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

Step-4: Factors of 19132

List of positive integer factors of 19132 that divides 19120 without a remainder.

1, 2, 4, 4783, 9566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19120 and 19132. The biggest common factor number is the GCF number.
So the greatest common factor 19120 and 19132 is 4.

Also check out the Least Common Multiple of 19120 and 19132