What is the Greatest Common Factor of 54690 and 54705?

Greatest common factor (GCF) of 54690 and 54705 is 15.

GCF(54690,54705) = 15

We will now calculate the prime factors of 54690 and 54705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54690 and 54705.

How to find the GCF of 54690 and 54705?

We will first find the prime factorization of 54690 and 54705. After we will calculate the factors of 54690 and 54705 and find the biggest common factor number .

Step-1: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-2: Prime Factorization of 54705

Prime factors of 54705 are 3, 5, 7, 521. Prime factorization of 54705 in exponential form is:

54705 = 3¹ × 5¹ × 7¹ × 521¹

Step-3: Factors of 54690

List of positive integer factors of 54690 that divides 54690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Step-4: Factors of 54705

List of positive integer factors of 54705 that divides 54690 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 521, 1563, 2605, 3647, 7815, 10941, 18235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54690 and 54705. The biggest common factor number is the GCF number.
So the greatest common factor 54690 and 54705 is 15.

Also check out the Least Common Multiple of 54690 and 54705