What is the Greatest Common Factor of 15235 and 15240?

Greatest common factor (GCF) of 15235 and 15240 is 5.

GCF(15235,15240) = 5

We will now calculate the prime factors of 15235 and 15240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15235 and 15240.

How to find the GCF of 15235 and 15240?

We will first find the prime factorization of 15235 and 15240. After we will calculate the factors of 15235 and 15240 and find the biggest common factor number .

Step-1: Prime Factorization of 15235

Prime factors of 15235 are 5, 11, 277. Prime factorization of 15235 in exponential form is:

15235 = 5¹ × 11¹ × 277¹

Step-2: Prime Factorization of 15240

Prime factors of 15240 are 2, 3, 5, 127. Prime factorization of 15240 in exponential form is:

15240 = 2³ × 3¹ × 5¹ × 127¹

Step-3: Factors of 15235

List of positive integer factors of 15235 that divides 15235 without a remainder.

1, 5, 11, 55, 277, 1385, 3047

Step-4: Factors of 15240

List of positive integer factors of 15240 that divides 15235 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15235 and 15240. The biggest common factor number is the GCF number.
So the greatest common factor 15235 and 15240 is 5.

Also check out the Least Common Multiple of 15235 and 15240