What is the Greatest Common Factor of 15500 and 15510?

Greatest common factor (GCF) of 15500 and 15510 is 10.

GCF(15500,15510) = 10

We will now calculate the prime factors of 15500 and 15510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15500 and 15510.

How to find the GCF of 15500 and 15510?

We will first find the prime factorization of 15500 and 15510. After we will calculate the factors of 15500 and 15510 and find the biggest common factor number .

Step-1: Prime Factorization of 15500

Prime factors of 15500 are 2, 5, 31. Prime factorization of 15500 in exponential form is:

15500 = 2² × 5³ × 31¹

Step-2: Prime Factorization of 15510

Prime factors of 15510 are 2, 3, 5, 11, 47. Prime factorization of 15510 in exponential form is:

15510 = 2¹ × 3¹ × 5¹ × 11¹ × 47¹

Step-3: Factors of 15500

List of positive integer factors of 15500 that divides 15500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 125, 155, 250, 310, 500, 620, 775, 1550, 3100, 3875, 7750

Step-4: Factors of 15510

List of positive integer factors of 15510 that divides 15500 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 47, 55, 66, 94, 110, 141, 165, 235, 282, 330, 470, 517, 705, 1034, 1410, 1551, 2585, 3102, 5170, 7755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15500 and 15510. The biggest common factor number is the GCF number.
So the greatest common factor 15500 and 15510 is 10.

Also check out the Least Common Multiple of 15500 and 15510