What is the Greatest Common Factor of 6851 and 6860?

Greatest common factor (GCF) of 6851 and 6860 is 1.

GCF(6851,6860) = 1

We will now calculate the prime factors of 6851 and 6860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6851 and 6860.

How to find the GCF of 6851 and 6860?

We will first find the prime factorization of 6851 and 6860. After we will calculate the factors of 6851 and 6860 and find the biggest common factor number .

Step-1: Prime Factorization of 6851

Prime factors of 6851 are 13, 17, 31. Prime factorization of 6851 in exponential form is:

6851 = 13¹ × 17¹ × 31¹

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 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1, 13, 17, 31, 221, 403, 527

Step-4: Factors of 6860

List of positive integer factors of 6860 that divides 6851 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 6851 and 6860. The biggest common factor number is the GCF number.
So the greatest common factor 6851 and 6860 is 1.

Also check out the Least Common Multiple of 6851 and 6860