What is the Greatest Common Factor of 8340 and 8350?

Greatest common factor (GCF) of 8340 and 8350 is 10.

GCF(8340,8350) = 10

We will now calculate the prime factors of 8340 and 8350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8340 and 8350.

How to find the GCF of 8340 and 8350?

We will first find the prime factorization of 8340 and 8350. After we will calculate the factors of 8340 and 8350 and find the biggest common factor number .

Step-1: Prime Factorization of 8340

Prime factors of 8340 are 2, 3, 5, 139. Prime factorization of 8340 in exponential form is:

8340 = 2² × 3¹ × 5¹ × 139¹

Step-2: Prime Factorization of 8350

Prime factors of 8350 are 2, 5, 167. Prime factorization of 8350 in exponential form is:

8350 = 2¹ × 5² × 167¹

Step-3: Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170

Step-4: Factors of 8350

List of positive integer factors of 8350 that divides 8340 without a remainder.

1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8340 and 8350. The biggest common factor number is the GCF number.
So the greatest common factor 8340 and 8350 is 10.

Also check out the Least Common Multiple of 8340 and 8350