What is the Greatest Common Factor of 66888 and 66900?

Greatest common factor (GCF) of 66888 and 66900 is 12.

GCF(66888,66900) = 12

We will now calculate the prime factors of 66888 and 66900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66888 and 66900.

How to find the GCF of 66888 and 66900?

We will first find the prime factorization of 66888 and 66900. After we will calculate the factors of 66888 and 66900 and find the biggest common factor number .

Step-1: Prime Factorization of 66888

Prime factors of 66888 are 2, 3, 929. Prime factorization of 66888 in exponential form is:

66888 = 2³ × 3² × 929¹

Step-2: Prime Factorization of 66900

Prime factors of 66900 are 2, 3, 5, 223. Prime factorization of 66900 in exponential form is:

66900 = 2² × 3¹ × 5² × 223¹

Step-3: Factors of 66888

List of positive integer factors of 66888 that divides 66888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 929, 1858, 2787, 3716, 5574, 7432, 8361, 11148, 16722, 22296, 33444

Step-4: Factors of 66900

List of positive integer factors of 66900 that divides 66888 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 223, 300, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 5575, 6690, 11150, 13380, 16725, 22300, 33450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66888 and 66900. The biggest common factor number is the GCF number.
So the greatest common factor 66888 and 66900 is 12.

Also check out the Least Common Multiple of 66888 and 66900