What is the Greatest Common Factor of 66735 and 66744?

Greatest common factor (GCF) of 66735 and 66744 is 9.

GCF(66735,66744) = 9

We will now calculate the prime factors of 66735 and 66744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66735 and 66744.

How to find the GCF of 66735 and 66744?

We will first find the prime factorization of 66735 and 66744. After we will calculate the factors of 66735 and 66744 and find the biggest common factor number .

Step-1: Prime Factorization of 66735

Prime factors of 66735 are 3, 5, 1483. Prime factorization of 66735 in exponential form is:

66735 = 3² × 5¹ × 1483¹

Step-2: 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-3: Factors of 66735

List of positive integer factors of 66735 that divides 66735 without a remainder.

1, 3, 5, 9, 15, 45, 1483, 4449, 7415, 13347, 22245

Step-4: Factors of 66744

List of positive integer factors of 66744 that divides 66735 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66735 and 66744. The biggest common factor number is the GCF number.
So the greatest common factor 66735 and 66744 is 9.

Also check out the Least Common Multiple of 66735 and 66744