What is the Greatest Common Factor of 6830 and 6840?

Greatest common factor (GCF) of 6830 and 6840 is 10.

GCF(6830,6840) = 10

We will now calculate the prime factors of 6830 and 6840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6830 and 6840.

How to find the GCF of 6830 and 6840?

We will first find the prime factorization of 6830 and 6840. After we will calculate the factors of 6830 and 6840 and find the biggest common factor number .

Step-1: Prime Factorization of 6830

Prime factors of 6830 are 2, 5, 683. Prime factorization of 6830 in exponential form is:

6830 = 2¹ × 5¹ × 683¹

Step-2: Prime Factorization of 6840

Prime factors of 6840 are 2, 3, 5, 19. Prime factorization of 6840 in exponential form is:

6840 = 2³ × 3² × 5¹ × 19¹

Step-3: Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1, 2, 5, 10, 683, 1366, 3415

Step-4: Factors of 6840

List of positive integer factors of 6840 that divides 6830 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6830 and 6840. The biggest common factor number is the GCF number.
So the greatest common factor 6830 and 6840 is 10.

Also check out the Least Common Multiple of 6830 and 6840