What is the Greatest Common Factor of 15490 and 15500?

Greatest common factor (GCF) of 15490 and 15500 is 10.

GCF(15490,15500) = 10

We will now calculate the prime factors of 15490 and 15500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15490 and 15500.

How to find the GCF of 15490 and 15500?

We will first find the prime factorization of 15490 and 15500. After we will calculate the factors of 15490 and 15500 and find the biggest common factor number .

Step-1: Prime Factorization of 15490

Prime factors of 15490 are 2, 5, 1549. Prime factorization of 15490 in exponential form is:

15490 = 2¹ × 5¹ × 1549¹

Step-2: 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-3: Factors of 15490

List of positive integer factors of 15490 that divides 15490 without a remainder.

1, 2, 5, 10, 1549, 3098, 7745

Step-4: Factors of 15500

List of positive integer factors of 15500 that divides 15490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15490 and 15500. The biggest common factor number is the GCF number.
So the greatest common factor 15490 and 15500 is 10.

Also check out the Least Common Multiple of 15490 and 15500