What is the Greatest Common Factor of 67740 and 67755?

Greatest common factor (GCF) of 67740 and 67755 is 15.

GCF(67740,67755) = 15

We will now calculate the prime factors of 67740 and 67755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67740 and 67755.

How to find the GCF of 67740 and 67755?

We will first find the prime factorization of 67740 and 67755. After we will calculate the factors of 67740 and 67755 and find the biggest common factor number .

Step-1: Prime Factorization of 67740

Prime factors of 67740 are 2, 3, 5, 1129. Prime factorization of 67740 in exponential form is:

67740 = 2² × 3¹ × 5¹ × 1129¹

Step-2: Prime Factorization of 67755

Prime factors of 67755 are 3, 5, 4517. Prime factorization of 67755 in exponential form is:

67755 = 3¹ × 5¹ × 4517¹

Step-3: Factors of 67740

List of positive integer factors of 67740 that divides 67740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1129, 2258, 3387, 4516, 5645, 6774, 11290, 13548, 16935, 22580, 33870

Step-4: Factors of 67755

List of positive integer factors of 67755 that divides 67740 without a remainder.

1, 3, 5, 15, 4517, 13551, 22585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67740 and 67755. The biggest common factor number is the GCF number.
So the greatest common factor 67740 and 67755 is 15.

Also check out the Least Common Multiple of 67740 and 67755