What is the Greatest Common Factor of 66735 and 66750?

Greatest common factor (GCF) of 66735 and 66750 is 15.

GCF(66735,66750) = 15

We will now calculate the prime factors of 66735 and 66750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66735 and 66750.

How to find the GCF of 66735 and 66750?

We will first find the prime factorization of 66735 and 66750. After we will calculate the factors of 66735 and 66750 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 66750

Prime factors of 66750 are 2, 3, 5, 89. Prime factorization of 66750 in exponential form is:

66750 = 2¹ × 3¹ × 5³ × 89¹

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 66750

List of positive integer factors of 66750 that divides 66735 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 125, 150, 178, 250, 267, 375, 445, 534, 750, 890, 1335, 2225, 2670, 4450, 6675, 11125, 13350, 22250, 33375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66735 and 66750. The biggest common factor number is the GCF number.
So the greatest common factor 66735 and 66750 is 15.

Also check out the Least Common Multiple of 66735 and 66750