What is the Greatest Common Factor of 66834 and 66849?

Greatest common factor (GCF) of 66834 and 66849 is 3.

GCF(66834,66849) = 3

We will now calculate the prime factors of 66834 and 66849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66834 and 66849.

How to find the GCF of 66834 and 66849?

We will first find the prime factorization of 66834 and 66849. After we will calculate the factors of 66834 and 66849 and find the biggest common factor number .

Step-1: Prime Factorization of 66834

Prime factors of 66834 are 2, 3, 47, 79. Prime factorization of 66834 in exponential form is:

66834 = 2¹ × 3² × 47¹ × 79¹

Step-2: Prime Factorization of 66849

Prime factors of 66849 are 3, 22283. Prime factorization of 66849 in exponential form is:

66849 = 3¹ × 22283¹

Step-3: Factors of 66834

List of positive integer factors of 66834 that divides 66834 without a remainder.

1, 2, 3, 6, 9, 18, 47, 79, 94, 141, 158, 237, 282, 423, 474, 711, 846, 1422, 3713, 7426, 11139, 22278, 33417

Step-4: Factors of 66849

List of positive integer factors of 66849 that divides 66834 without a remainder.

1, 3, 22283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66834 and 66849. The biggest common factor number is the GCF number.
So the greatest common factor 66834 and 66849 is 3.

Also check out the Least Common Multiple of 66834 and 66849