What is the Greatest Common Factor of 27010 and 27028?

Greatest common factor (GCF) of 27010 and 27028 is 2.

GCF(27010,27028) = 2

We will now calculate the prime factors of 27010 and 27028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27010 and 27028.

How to find the GCF of 27010 and 27028?

We will first find the prime factorization of 27010 and 27028. After we will calculate the factors of 27010 and 27028 and find the biggest common factor number .

Step-1: Prime Factorization of 27010

Prime factors of 27010 are 2, 5, 37, 73. Prime factorization of 27010 in exponential form is:

27010 = 2¹ × 5¹ × 37¹ × 73¹

Step-2: Prime Factorization of 27028

Prime factors of 27028 are 2, 29, 233. Prime factorization of 27028 in exponential form is:

27028 = 2² × 29¹ × 233¹

Step-3: Factors of 27010

List of positive integer factors of 27010 that divides 27010 without a remainder.

1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505

Step-4: Factors of 27028

List of positive integer factors of 27028 that divides 27010 without a remainder.

1, 2, 4, 29, 58, 116, 233, 466, 932, 6757, 13514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27010 and 27028. The biggest common factor number is the GCF number.
So the greatest common factor 27010 and 27028 is 2.

Also check out the Least Common Multiple of 27010 and 27028