What is the Greatest Common Factor of 6834 and 6852?

Greatest common factor (GCF) of 6834 and 6852 is 6.

GCF(6834,6852) = 6

We will now calculate the prime factors of 6834 and 6852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6834 and 6852.

How to find the GCF of 6834 and 6852?

We will first find the prime factorization of 6834 and 6852. After we will calculate the factors of 6834 and 6852 and find the biggest common factor number .

Step-1: Prime Factorization of 6834

Prime factors of 6834 are 2, 3, 17, 67. Prime factorization of 6834 in exponential form is:

6834 = 2¹ × 3¹ × 17¹ × 67¹

Step-2: Prime Factorization of 6852

Prime factors of 6852 are 2, 3, 571. Prime factorization of 6852 in exponential form is:

6852 = 2² × 3¹ × 571¹

Step-3: Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417

Step-4: Factors of 6852

List of positive integer factors of 6852 that divides 6834 without a remainder.

1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6834 and 6852. The biggest common factor number is the GCF number.
So the greatest common factor 6834 and 6852 is 6.

Also check out the Least Common Multiple of 6834 and 6852