What is the Greatest Common Factor of 15640 and 15660?

Greatest common factor (GCF) of 15640 and 15660 is 20.

GCF(15640,15660) = 20

We will now calculate the prime factors of 15640 and 15660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15640 and 15660.

How to find the GCF of 15640 and 15660?

We will first find the prime factorization of 15640 and 15660. After we will calculate the factors of 15640 and 15660 and find the biggest common factor number .

Step-1: Prime Factorization of 15640

Prime factors of 15640 are 2, 5, 17, 23. Prime factorization of 15640 in exponential form is:

15640 = 2³ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 15660

Prime factors of 15660 are 2, 3, 5, 29. Prime factorization of 15660 in exponential form is:

15660 = 2² × 3³ × 5¹ × 29¹

Step-3: Factors of 15640

List of positive integer factors of 15640 that divides 15640 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 23, 34, 40, 46, 68, 85, 92, 115, 136, 170, 184, 230, 340, 391, 460, 680, 782, 920, 1564, 1955, 3128, 3910, 7820

Step-4: Factors of 15660

List of positive integer factors of 15660 that divides 15640 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 29, 30, 36, 45, 54, 58, 60, 87, 90, 108, 116, 135, 145, 174, 180, 261, 270, 290, 348, 435, 522, 540, 580, 783, 870, 1044, 1305, 1566, 1740, 2610, 3132, 3915, 5220, 7830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15640 and 15660. The biggest common factor number is the GCF number.
So the greatest common factor 15640 and 15660 is 20.

Also check out the Least Common Multiple of 15640 and 15660