What is the Greatest Common Factor of 66840 and 66852?

Greatest common factor (GCF) of 66840 and 66852 is 12.

GCF(66840,66852) = 12

We will now calculate the prime factors of 66840 and 66852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66840 and 66852.

How to find the GCF of 66840 and 66852?

We will first find the prime factorization of 66840 and 66852. After we will calculate the factors of 66840 and 66852 and find the biggest common factor number .

Step-1: Prime Factorization of 66840

Prime factors of 66840 are 2, 3, 5, 557. Prime factorization of 66840 in exponential form is:

66840 = 2³ × 3¹ × 5¹ × 557¹

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 66840

List of positive integer factors of 66840 that divides 66840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 557, 1114, 1671, 2228, 2785, 3342, 4456, 5570, 6684, 8355, 11140, 13368, 16710, 22280, 33420

Step-4: Factors of 66852

List of positive integer factors of 66852 that divides 66840 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 66840 and 66852. The biggest common factor number is the GCF number.
So the greatest common factor 66840 and 66852 is 12.

Also check out the Least Common Multiple of 66840 and 66852