What is the Greatest Common Factor of 27710 and 27730?

Greatest common factor (GCF) of 27710 and 27730 is 10.

GCF(27710,27730) = 10

We will now calculate the prime factors of 27710 and 27730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27710 and 27730.

How to find the GCF of 27710 and 27730?

We will first find the prime factorization of 27710 and 27730. After we will calculate the factors of 27710 and 27730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27730

Prime factors of 27730 are 2, 5, 47, 59. Prime factorization of 27730 in exponential form is:

27730 = 2¹ × 5¹ × 47¹ × 59¹

Step-3: Factors of 27710

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

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

Step-4: Factors of 27730

List of positive integer factors of 27730 that divides 27710 without a remainder.

1, 2, 5, 10, 47, 59, 94, 118, 235, 295, 470, 590, 2773, 5546, 13865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27710 and 27730. The biggest common factor number is the GCF number.
So the greatest common factor 27710 and 27730 is 10.

Also check out the Least Common Multiple of 27710 and 27730