What is the Greatest Common Factor of 27400 and 27410?

Greatest common factor (GCF) of 27400 and 27410 is 10.

GCF(27400,27410) = 10

We will now calculate the prime factors of 27400 and 27410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27400 and 27410.

How to find the GCF of 27400 and 27410?

We will first find the prime factorization of 27400 and 27410. After we will calculate the factors of 27400 and 27410 and find the biggest common factor number .

Step-1: Prime Factorization of 27400

Prime factors of 27400 are 2, 5, 137. Prime factorization of 27400 in exponential form is:

27400 = 2³ × 5² × 137¹

Step-2: 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-3: Factors of 27400

List of positive integer factors of 27400 that divides 27400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 137, 200, 274, 548, 685, 1096, 1370, 2740, 3425, 5480, 6850, 13700

Step-4: Factors of 27410

List of positive integer factors of 27410 that divides 27400 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27400 and 27410. The biggest common factor number is the GCF number.
So the greatest common factor 27400 and 27410 is 10.

Also check out the Least Common Multiple of 27400 and 27410