What is the Greatest Common Factor of 34660 and 34680?

Greatest common factor (GCF) of 34660 and 34680 is 20.

GCF(34660,34680) = 20

We will now calculate the prime factors of 34660 and 34680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34660 and 34680.

How to find the GCF of 34660 and 34680?

We will first find the prime factorization of 34660 and 34680. After we will calculate the factors of 34660 and 34680 and find the biggest common factor number .

Step-1: Prime Factorization of 34660

Prime factors of 34660 are 2, 5, 1733. Prime factorization of 34660 in exponential form is:

34660 = 2² × 5¹ × 1733¹

Step-2: Prime Factorization of 34680

Prime factors of 34680 are 2, 3, 5, 17. Prime factorization of 34680 in exponential form is:

34680 = 2³ × 3¹ × 5¹ × 17²

Step-3: Factors of 34660

List of positive integer factors of 34660 that divides 34660 without a remainder.

1, 2, 4, 5, 10, 20, 1733, 3466, 6932, 8665, 17330

Step-4: Factors of 34680

List of positive integer factors of 34680 that divides 34660 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 289, 340, 408, 510, 578, 680, 867, 1020, 1156, 1445, 1734, 2040, 2312, 2890, 3468, 4335, 5780, 6936, 8670, 11560, 17340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34660 and 34680. The biggest common factor number is the GCF number.
So the greatest common factor 34660 and 34680 is 20.

Also check out the Least Common Multiple of 34660 and 34680