What is the Greatest Common Factor of 66852 and 66870?

Greatest common factor (GCF) of 66852 and 66870 is 18.

GCF(66852,66870) = 18

We will now calculate the prime factors of 66852 and 66870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66852 and 66870.

How to find the GCF of 66852 and 66870?

We will first find the prime factorization of 66852 and 66870. After we will calculate the factors of 66852 and 66870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66870

Prime factors of 66870 are 2, 3, 5, 743. Prime factorization of 66870 in exponential form is:

66870 = 2¹ × 3² × 5¹ × 743¹

Step-3: Factors of 66852

List of positive integer factors of 66852 that divides 66852 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

Step-4: Factors of 66870

List of positive integer factors of 66870 that divides 66852 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 743, 1486, 2229, 3715, 4458, 6687, 7430, 11145, 13374, 22290, 33435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66852 and 66870. The biggest common factor number is the GCF number.
So the greatest common factor 66852 and 66870 is 18.

Also check out the Least Common Multiple of 66852 and 66870