What is the Greatest Common Factor of 27405 and 27425?

Greatest common factor (GCF) of 27405 and 27425 is 5.

GCF(27405,27425) = 5

We will now calculate the prime factors of 27405 and 27425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27405 and 27425.

How to find the GCF of 27405 and 27425?

We will first find the prime factorization of 27405 and 27425. After we will calculate the factors of 27405 and 27425 and find the biggest common factor number .

Step-1: Prime Factorization of 27405

Prime factors of 27405 are 3, 5, 7, 29. Prime factorization of 27405 in exponential form is:

27405 = 3³ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 27425

Prime factors of 27425 are 5, 1097. Prime factorization of 27425 in exponential form is:

27425 = 5² × 1097¹

Step-3: Factors of 27405

List of positive integer factors of 27405 that divides 27405 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 29, 35, 45, 63, 87, 105, 135, 145, 189, 203, 261, 315, 435, 609, 783, 945, 1015, 1305, 1827, 3045, 3915, 5481, 9135

Step-4: Factors of 27425

List of positive integer factors of 27425 that divides 27405 without a remainder.

1, 5, 25, 1097, 5485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27405 and 27425. The biggest common factor number is the GCF number.
So the greatest common factor 27405 and 27425 is 5.

Also check out the Least Common Multiple of 27405 and 27425