What is the Greatest Common Factor of 27010 and 27025?

Greatest common factor (GCF) of 27010 and 27025 is 5.

GCF(27010,27025) = 5

We will now calculate the prime factors of 27010 and 27025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27010 and 27025.

How to find the GCF of 27010 and 27025?

We will first find the prime factorization of 27010 and 27025. After we will calculate the factors of 27010 and 27025 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 27025

Prime factors of 27025 are 5, 23, 47. Prime factorization of 27025 in exponential form is:

27025 = 5² × 23¹ × 47¹

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 27025

List of positive integer factors of 27025 that divides 27010 without a remainder.

1, 5, 23, 25, 47, 115, 235, 575, 1081, 1175, 5405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27010 and 27025. The biggest common factor number is the GCF number.
So the greatest common factor 27010 and 27025 is 5.

Also check out the Least Common Multiple of 27010 and 27025