What is the Greatest Common Factor of 66834 and 66838?

Greatest common factor (GCF) of 66834 and 66838 is 2.

GCF(66834,66838) = 2

We will now calculate the prime factors of 66834 and 66838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66834 and 66838.

How to find the GCF of 66834 and 66838?

We will first find the prime factorization of 66834 and 66838. After we will calculate the factors of 66834 and 66838 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 66838

Prime factors of 66838 are 2, 23, 1453. Prime factorization of 66838 in exponential form is:

66838 = 2¹ × 23¹ × 1453¹

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 66838

List of positive integer factors of 66838 that divides 66834 without a remainder.

1, 2, 23, 46, 1453, 2906, 33419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66834 and 66838. The biggest common factor number is the GCF number.
So the greatest common factor 66834 and 66838 is 2.

Also check out the Least Common Multiple of 66834 and 66838