What is the Greatest Common Factor of 66744 and 66762?

Greatest common factor (GCF) of 66744 and 66762 is 18.

GCF(66744,66762) = 18

We will now calculate the prime factors of 66744 and 66762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66744 and 66762.

How to find the GCF of 66744 and 66762?

We will first find the prime factorization of 66744 and 66762. After we will calculate the factors of 66744 and 66762 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 66762

Prime factors of 66762 are 2, 3, 3709. Prime factorization of 66762 in exponential form is:

66762 = 2¹ × 3² × 3709¹

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 66762

List of positive integer factors of 66762 that divides 66744 without a remainder.

1, 2, 3, 6, 9, 18, 3709, 7418, 11127, 22254, 33381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66744 and 66762. The biggest common factor number is the GCF number.
So the greatest common factor 66744 and 66762 is 18.

Also check out the Least Common Multiple of 66744 and 66762