What is the Greatest Common Factor of 27390 and 27400?

Greatest common factor (GCF) of 27390 and 27400 is 10.

GCF(27390,27400) = 10

We will now calculate the prime factors of 27390 and 27400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27390 and 27400.

How to find the GCF of 27390 and 27400?

We will first find the prime factorization of 27390 and 27400. After we will calculate the factors of 27390 and 27400 and find the biggest common factor number .

Step-1: Prime Factorization of 27390

Prime factors of 27390 are 2, 3, 5, 11, 83. Prime factorization of 27390 in exponential form is:

27390 = 2¹ × 3¹ × 5¹ × 11¹ × 83¹

Step-2: 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-3: Factors of 27390

List of positive integer factors of 27390 that divides 27390 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 83, 110, 165, 166, 249, 330, 415, 498, 830, 913, 1245, 1826, 2490, 2739, 4565, 5478, 9130, 13695

Step-4: Factors of 27400

List of positive integer factors of 27400 that divides 27390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27390 and 27400. The biggest common factor number is the GCF number.
So the greatest common factor 27390 and 27400 is 10.

Also check out the Least Common Multiple of 27390 and 27400