What is the Greatest Common Factor of 6840 and 6860?

Greatest common factor (GCF) of 6840 and 6860 is 20.

GCF(6840,6860) = 20

We will now calculate the prime factors of 6840 and 6860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6840 and 6860.

How to find the GCF of 6840 and 6860?

We will first find the prime factorization of 6840 and 6860. After we will calculate the factors of 6840 and 6860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6860

Prime factors of 6860 are 2, 5, 7. Prime factorization of 6860 in exponential form is:

6860 = 2² × 5¹ × 7³

Step-3: Factors of 6840

List of positive integer factors of 6840 that divides 6840 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

Step-4: Factors of 6860

List of positive integer factors of 6860 that divides 6840 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6840 and 6860. The biggest common factor number is the GCF number.
So the greatest common factor 6840 and 6860 is 20.

Also check out the Least Common Multiple of 6840 and 6860