What is the Greatest Common Factor of 27290 and 27305?

Greatest common factor (GCF) of 27290 and 27305 is 5.

GCF(27290,27305) = 5

We will now calculate the prime factors of 27290 and 27305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27290 and 27305.

How to find the GCF of 27290 and 27305?

We will first find the prime factorization of 27290 and 27305. After we will calculate the factors of 27290 and 27305 and find the biggest common factor number .

Step-1: Prime Factorization of 27290

Prime factors of 27290 are 2, 5, 2729. Prime factorization of 27290 in exponential form is:

27290 = 2¹ × 5¹ × 2729¹

Step-2: Prime Factorization of 27305

Prime factors of 27305 are 5, 43, 127. Prime factorization of 27305 in exponential form is:

27305 = 5¹ × 43¹ × 127¹

Step-3: Factors of 27290

List of positive integer factors of 27290 that divides 27290 without a remainder.

1, 2, 5, 10, 2729, 5458, 13645

Step-4: Factors of 27305

List of positive integer factors of 27305 that divides 27290 without a remainder.

1, 5, 43, 127, 215, 635, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27290 and 27305. The biggest common factor number is the GCF number.
So the greatest common factor 27290 and 27305 is 5.

Also check out the Least Common Multiple of 27290 and 27305