What is the Greatest Common Factor of 19260 and 19270?

Greatest common factor (GCF) of 19260 and 19270 is 10.

GCF(19260,19270) = 10

We will now calculate the prime factors of 19260 and 19270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19260 and 19270.

How to find the GCF of 19260 and 19270?

We will first find the prime factorization of 19260 and 19270. After we will calculate the factors of 19260 and 19270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19270

Prime factors of 19270 are 2, 5, 41, 47. Prime factorization of 19270 in exponential form is:

19270 = 2¹ × 5¹ × 41¹ × 47¹

Step-3: Factors of 19260

List of positive integer factors of 19260 that divides 19260 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

Step-4: Factors of 19270

List of positive integer factors of 19270 that divides 19260 without a remainder.

1, 2, 5, 10, 41, 47, 82, 94, 205, 235, 410, 470, 1927, 3854, 9635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19260 and 19270. The biggest common factor number is the GCF number.
So the greatest common factor 19260 and 19270 is 10.

Also check out the Least Common Multiple of 19260 and 19270