What is the Greatest Common Factor of 15250 and 15260?

Greatest common factor (GCF) of 15250 and 15260 is 10.

GCF(15250,15260) = 10

We will now calculate the prime factors of 15250 and 15260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15250 and 15260.

How to find the GCF of 15250 and 15260?

We will first find the prime factorization of 15250 and 15260. After we will calculate the factors of 15250 and 15260 and find the biggest common factor number .

Step-1: Prime Factorization of 15250

Prime factors of 15250 are 2, 5, 61. Prime factorization of 15250 in exponential form is:

15250 = 2¹ × 5³ × 61¹

Step-2: Prime Factorization of 15260

Prime factors of 15260 are 2, 5, 7, 109. Prime factorization of 15260 in exponential form is:

15260 = 2² × 5¹ × 7¹ × 109¹

Step-3: Factors of 15250

List of positive integer factors of 15250 that divides 15250 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625

Step-4: Factors of 15260

List of positive integer factors of 15260 that divides 15250 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 109, 140, 218, 436, 545, 763, 1090, 1526, 2180, 3052, 3815, 7630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15250 and 15260. The biggest common factor number is the GCF number.
So the greatest common factor 15250 and 15260 is 10.

Also check out the Least Common Multiple of 15250 and 15260