What is the Greatest Common Factor of 27410 and 27415?

Greatest common factor (GCF) of 27410 and 27415 is 5.

GCF(27410,27415) = 5

We will now calculate the prime factors of 27410 and 27415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27410 and 27415.

How to find the GCF of 27410 and 27415?

We will first find the prime factorization of 27410 and 27415. After we will calculate the factors of 27410 and 27415 and find the biggest common factor number .

Step-1: Prime Factorization of 27410

Prime factors of 27410 are 2, 5, 2741. Prime factorization of 27410 in exponential form is:

27410 = 2¹ × 5¹ × 2741¹

Step-2: Prime Factorization of 27415

Prime factors of 27415 are 5, 5483. Prime factorization of 27415 in exponential form is:

27415 = 5¹ × 5483¹

Step-3: Factors of 27410

List of positive integer factors of 27410 that divides 27410 without a remainder.

1, 2, 5, 10, 2741, 5482, 13705

Step-4: Factors of 27415

List of positive integer factors of 27415 that divides 27410 without a remainder.

1, 5, 5483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27410 and 27415. The biggest common factor number is the GCF number.
So the greatest common factor 27410 and 27415 is 5.

Also check out the Least Common Multiple of 27410 and 27415