What is the Greatest Common Factor of 34853 and 34866?

Greatest common factor (GCF) of 34853 and 34866 is 13.

GCF(34853,34866) = 13

We will now calculate the prime factors of 34853 and 34866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34853 and 34866.

How to find the GCF of 34853 and 34866?

We will first find the prime factorization of 34853 and 34866. After we will calculate the factors of 34853 and 34866 and find the biggest common factor number .

Step-1: Prime Factorization of 34853

Prime factors of 34853 are 7, 13, 383. Prime factorization of 34853 in exponential form is:

34853 = 7¹ × 13¹ × 383¹

Step-2: Prime Factorization of 34866

Prime factors of 34866 are 2, 3, 13, 149. Prime factorization of 34866 in exponential form is:

34866 = 2¹ × 3² × 13¹ × 149¹

Step-3: Factors of 34853

List of positive integer factors of 34853 that divides 34853 without a remainder.

1, 7, 13, 91, 383, 2681, 4979

Step-4: Factors of 34866

List of positive integer factors of 34866 that divides 34853 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 149, 234, 298, 447, 894, 1341, 1937, 2682, 3874, 5811, 11622, 17433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34853 and 34866. The biggest common factor number is the GCF number.
So the greatest common factor 34853 and 34866 is 13.

Also check out the Least Common Multiple of 34853 and 34866