What is the Greatest Common Factor of 27410 and 27424?

Greatest common factor (GCF) of 27410 and 27424 is 2.

GCF(27410,27424) = 2

We will now calculate the prime factors of 27410 and 27424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27410 and 27424.

How to find the GCF of 27410 and 27424?

We will first find the prime factorization of 27410 and 27424. After we will calculate the factors of 27410 and 27424 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 27424

Prime factors of 27424 are 2, 857. Prime factorization of 27424 in exponential form is:

27424 = 2⁵ × 857¹

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 27424

List of positive integer factors of 27424 that divides 27410 without a remainder.

1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27410 and 27424. The biggest common factor number is the GCF number.
So the greatest common factor 27410 and 27424 is 2.

Also check out the Least Common Multiple of 27410 and 27424