What is the Greatest Common Factor of 27380 and 27390?

Greatest common factor (GCF) of 27380 and 27390 is 10.

GCF(27380,27390) = 10

We will now calculate the prime factors of 27380 and 27390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27390.

How to find the GCF of 27380 and 27390?

We will first find the prime factorization of 27380 and 27390. After we will calculate the factors of 27380 and 27390 and find the biggest common factor number .

Step-1: Prime Factorization of 27380

Prime factors of 27380 are 2, 5, 37. Prime factorization of 27380 in exponential form is:

27380 = 2² × 5¹ × 37²

Step-2: 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-3: Factors of 27380

List of positive integer factors of 27380 that divides 27380 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845, 13690

Step-4: Factors of 27390

List of positive integer factors of 27390 that divides 27380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27390. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27390 is 10.

Also check out the Least Common Multiple of 27380 and 27390