What is the Greatest Common Factor of 27290 and 27298?

Greatest common factor (GCF) of 27290 and 27298 is 2.

GCF(27290,27298) = 2

We will now calculate the prime factors of 27290 and 27298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27290 and 27298.

How to find the GCF of 27290 and 27298?

We will first find the prime factorization of 27290 and 27298. After we will calculate the factors of 27290 and 27298 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 27298

Prime factors of 27298 are 2, 13649. Prime factorization of 27298 in exponential form is:

27298 = 2¹ × 13649¹

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 27298

List of positive integer factors of 27298 that divides 27290 without a remainder.

1, 2, 13649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27290 and 27298. The biggest common factor number is the GCF number.
So the greatest common factor 27290 and 27298 is 2.

Also check out the Least Common Multiple of 27290 and 27298