What is the Greatest Common Factor of 66833 and 66846?

Greatest common factor (GCF) of 66833 and 66846 is 13.

GCF(66833,66846) = 13

We will now calculate the prime factors of 66833 and 66846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66833 and 66846.

How to find the GCF of 66833 and 66846?

We will first find the prime factorization of 66833 and 66846. After we will calculate the factors of 66833 and 66846 and find the biggest common factor number .

Step-1: Prime Factorization of 66833

Prime factors of 66833 are 13, 53, 97. Prime factorization of 66833 in exponential form is:

66833 = 13¹ × 53¹ × 97¹

Step-2: Prime Factorization of 66846

Prime factors of 66846 are 2, 3, 13, 857. Prime factorization of 66846 in exponential form is:

66846 = 2¹ × 3¹ × 13¹ × 857¹

Step-3: Factors of 66833

List of positive integer factors of 66833 that divides 66833 without a remainder.

1, 13, 53, 97, 689, 1261, 5141

Step-4: Factors of 66846

List of positive integer factors of 66846 that divides 66833 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 857, 1714, 2571, 5142, 11141, 22282, 33423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66833 and 66846. The biggest common factor number is the GCF number.
So the greatest common factor 66833 and 66846 is 13.

Also check out the Least Common Multiple of 66833 and 66846