What is the Greatest Common Factor of 27690 and 27710?

Greatest common factor (GCF) of 27690 and 27710 is 10.

GCF(27690,27710) = 10

We will now calculate the prime factors of 27690 and 27710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27690 and 27710.

How to find the GCF of 27690 and 27710?

We will first find the prime factorization of 27690 and 27710. After we will calculate the factors of 27690 and 27710 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 27710

Prime factors of 27710 are 2, 5, 17, 163. Prime factorization of 27710 in exponential form is:

27710 = 2¹ × 5¹ × 17¹ × 163¹

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 27710

List of positive integer factors of 27710 that divides 27690 without a remainder.

1, 2, 5, 10, 17, 34, 85, 163, 170, 326, 815, 1630, 2771, 5542, 13855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27690 and 27710. The biggest common factor number is the GCF number.
So the greatest common factor 27690 and 27710 is 10.

Also check out the Least Common Multiple of 27690 and 27710