What is the Greatest Common Factor of 27690 and 27705?

Greatest common factor (GCF) of 27690 and 27705 is 15.

GCF(27690,27705) = 15

We will now calculate the prime factors of 27690 and 27705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27690 and 27705.

How to find the GCF of 27690 and 27705?

We will first find the prime factorization of 27690 and 27705. After we will calculate the factors of 27690 and 27705 and find the biggest common factor number .

Step-1: Prime Factorization of 27690

Prime factors of 27690 are 2, 3, 5, 13, 71. Prime factorization of 27690 in exponential form is:

27690 = 2¹ × 3¹ × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 27705

Prime factors of 27705 are 3, 5, 1847. Prime factorization of 27705 in exponential form is:

27705 = 3¹ × 5¹ × 1847¹

Step-3: Factors of 27690

List of positive integer factors of 27690 that divides 27690 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 71, 78, 130, 142, 195, 213, 355, 390, 426, 710, 923, 1065, 1846, 2130, 2769, 4615, 5538, 9230, 13845

Step-4: Factors of 27705

List of positive integer factors of 27705 that divides 27690 without a remainder.

1, 3, 5, 15, 1847, 5541, 9235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27690 and 27705. The biggest common factor number is the GCF number.
So the greatest common factor 27690 and 27705 is 15.

Also check out the Least Common Multiple of 27690 and 27705