What is the Greatest Common Factor of 66852 and 66864?

Greatest common factor (GCF) of 66852 and 66864 is 12.

GCF(66852,66864) = 12

We will now calculate the prime factors of 66852 and 66864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66852 and 66864.

How to find the GCF of 66852 and 66864?

We will first find the prime factorization of 66852 and 66864. After we will calculate the factors of 66852 and 66864 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 66864

Prime factors of 66864 are 2, 3, 7, 199. Prime factorization of 66864 in exponential form is:

66864 = 2⁴ × 3¹ × 7¹ × 199¹

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 66864

List of positive integer factors of 66864 that divides 66852 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 199, 336, 398, 597, 796, 1194, 1393, 1592, 2388, 2786, 3184, 4179, 4776, 5572, 8358, 9552, 11144, 16716, 22288, 33432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66852 and 66864. The biggest common factor number is the GCF number.
So the greatest common factor 66852 and 66864 is 12.

Also check out the Least Common Multiple of 66852 and 66864