What is the Greatest Common Factor of 66834 and 66852?

Greatest common factor (GCF) of 66834 and 66852 is 18.

GCF(66834,66852) = 18

We will now calculate the prime factors of 66834 and 66852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66834 and 66852.

How to find the GCF of 66834 and 66852?

We will first find the prime factorization of 66834 and 66852. After we will calculate the factors of 66834 and 66852 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 66852

Prime factors of 66852 are 2, 3, 619. Prime factorization of 66852 in exponential form is:

66852 = 2² × 3³ × 619¹

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 66852

List of positive integer factors of 66852 that divides 66834 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 619, 1238, 1857, 2476, 3714, 5571, 7428, 11142, 16713, 22284, 33426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66834 and 66852. The biggest common factor number is the GCF number.
So the greatest common factor 66834 and 66852 is 18.

Also check out the Least Common Multiple of 66834 and 66852