What is the Greatest Common Factor of 17660 and 17680?

Greatest common factor (GCF) of 17660 and 17680 is 20.

GCF(17660,17680) = 20

We will now calculate the prime factors of 17660 and 17680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17660 and 17680.

How to find the GCF of 17660 and 17680?

We will first find the prime factorization of 17660 and 17680. After we will calculate the factors of 17660 and 17680 and find the biggest common factor number .

Step-1: Prime Factorization of 17660

Prime factors of 17660 are 2, 5, 883. Prime factorization of 17660 in exponential form is:

17660 = 2² × 5¹ × 883¹

Step-2: Prime Factorization of 17680

Prime factors of 17680 are 2, 5, 13, 17. Prime factorization of 17680 in exponential form is:

17680 = 2⁴ × 5¹ × 13¹ × 17¹

Step-3: Factors of 17660

List of positive integer factors of 17660 that divides 17660 without a remainder.

1, 2, 4, 5, 10, 20, 883, 1766, 3532, 4415, 8830

Step-4: Factors of 17680

List of positive integer factors of 17680 that divides 17660 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 34, 40, 52, 65, 68, 80, 85, 104, 130, 136, 170, 208, 221, 260, 272, 340, 442, 520, 680, 884, 1040, 1105, 1360, 1768, 2210, 3536, 4420, 8840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17660 and 17680. The biggest common factor number is the GCF number.
So the greatest common factor 17660 and 17680 is 20.

Also check out the Least Common Multiple of 17660 and 17680