What is the Greatest Common Factor of 57690 and 57705?

Greatest common factor (GCF) of 57690 and 57705 is 15.

GCF(57690,57705) = 15

We will now calculate the prime factors of 57690 and 57705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57690 and 57705.

How to find the GCF of 57690 and 57705?

We will first find the prime factorization of 57690 and 57705. After we will calculate the factors of 57690 and 57705 and find the biggest common factor number .

Step-1: Prime Factorization of 57690

Prime factors of 57690 are 2, 3, 5, 641. Prime factorization of 57690 in exponential form is:

57690 = 2¹ × 3² × 5¹ × 641¹

Step-2: Prime Factorization of 57705

Prime factors of 57705 are 3, 5, 3847. Prime factorization of 57705 in exponential form is:

57705 = 3¹ × 5¹ × 3847¹

Step-3: Factors of 57690

List of positive integer factors of 57690 that divides 57690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 641, 1282, 1923, 3205, 3846, 5769, 6410, 9615, 11538, 19230, 28845

Step-4: Factors of 57705

List of positive integer factors of 57705 that divides 57690 without a remainder.

1, 3, 5, 15, 3847, 11541, 19235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57690 and 57705. The biggest common factor number is the GCF number.
So the greatest common factor 57690 and 57705 is 15.

Also check out the Least Common Multiple of 57690 and 57705