What is the Greatest Common Factor of 6832 and 6839?

Greatest common factor (GCF) of 6832 and 6839 is 7.

GCF(6832,6839) = 7

We will now calculate the prime factors of 6832 and 6839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6832 and 6839.

How to find the GCF of 6832 and 6839?

We will first find the prime factorization of 6832 and 6839. After we will calculate the factors of 6832 and 6839 and find the biggest common factor number .

Step-1: Prime Factorization of 6832

Prime factors of 6832 are 2, 7, 61. Prime factorization of 6832 in exponential form is:

6832 = 2⁴ × 7¹ × 61¹

Step-2: Prime Factorization of 6839

Prime factors of 6839 are 7, 977. Prime factorization of 6839 in exponential form is:

6839 = 7¹ × 977¹

Step-3: Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416

Step-4: Factors of 6839

List of positive integer factors of 6839 that divides 6832 without a remainder.

1, 7, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6832 and 6839. The biggest common factor number is the GCF number.
So the greatest common factor 6832 and 6839 is 7.

Also check out the Least Common Multiple of 6832 and 6839