What is the Greatest Common Factor of 66744 and 66756?

Greatest common factor (GCF) of 66744 and 66756 is 12.

GCF(66744,66756) = 12

We will now calculate the prime factors of 66744 and 66756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66744 and 66756.

How to find the GCF of 66744 and 66756?

We will first find the prime factorization of 66744 and 66756. After we will calculate the factors of 66744 and 66756 and find the biggest common factor number .

Step-1: Prime Factorization of 66744

Prime factors of 66744 are 2, 3, 103. Prime factorization of 66744 in exponential form is:

66744 = 2³ × 3⁴ × 103¹

Step-2: Prime Factorization of 66756

Prime factors of 66756 are 2, 3, 5563. Prime factorization of 66756 in exponential form is:

66756 = 2² × 3¹ × 5563¹

Step-3: Factors of 66744

List of positive integer factors of 66744 that divides 66744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 103, 108, 162, 206, 216, 309, 324, 412, 618, 648, 824, 927, 1236, 1854, 2472, 2781, 3708, 5562, 7416, 8343, 11124, 16686, 22248, 33372

Step-4: Factors of 66756

List of positive integer factors of 66756 that divides 66744 without a remainder.

1, 2, 3, 4, 6, 12, 5563, 11126, 16689, 22252, 33378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66744 and 66756. The biggest common factor number is the GCF number.
So the greatest common factor 66744 and 66756 is 12.

Also check out the Least Common Multiple of 66744 and 66756