What is the Greatest Common Factor of 19244 and 19260?

Greatest common factor (GCF) of 19244 and 19260 is 4.

GCF(19244,19260) = 4

We will now calculate the prime factors of 19244 and 19260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19244 and 19260.

How to find the GCF of 19244 and 19260?

We will first find the prime factorization of 19244 and 19260. After we will calculate the factors of 19244 and 19260 and find the biggest common factor number .

Step-1: Prime Factorization of 19244

Prime factors of 19244 are 2, 17, 283. Prime factorization of 19244 in exponential form is:

19244 = 2² × 17¹ × 283¹

Step-2: Prime Factorization of 19260

Prime factors of 19260 are 2, 3, 5, 107. Prime factorization of 19260 in exponential form is:

19260 = 2² × 3² × 5¹ × 107¹

Step-3: Factors of 19244

List of positive integer factors of 19244 that divides 19244 without a remainder.

1, 2, 4, 17, 34, 68, 283, 566, 1132, 4811, 9622

Step-4: Factors of 19260

List of positive integer factors of 19260 that divides 19244 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 107, 180, 214, 321, 428, 535, 642, 963, 1070, 1284, 1605, 1926, 2140, 3210, 3852, 4815, 6420, 9630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19244 and 19260. The biggest common factor number is the GCF number.
So the greatest common factor 19244 and 19260 is 4.

Also check out the Least Common Multiple of 19244 and 19260