What is the Greatest Common Factor of 34680 and 34687?

Greatest common factor (GCF) of 34680 and 34687 is 1.

GCF(34680,34687) = 1

We will now calculate the prime factors of 34680 and 34687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34680 and 34687.

How to find the GCF of 34680 and 34687?

We will first find the prime factorization of 34680 and 34687. After we will calculate the factors of 34680 and 34687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34687

Prime factors of 34687 are 34687. Prime factorization of 34687 in exponential form is:

34687 = 34687¹

Step-3: Factors of 34680

List of positive integer factors of 34680 that divides 34680 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

Step-4: Factors of 34687

List of positive integer factors of 34687 that divides 34680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34680 and 34687. The biggest common factor number is the GCF number.
So the greatest common factor 34680 and 34687 is 1.

Also check out the Least Common Multiple of 34680 and 34687