What is the Greatest Common Factor of 27465 and 27470?

Greatest common factor (GCF) of 27465 and 27470 is 5.

GCF(27465,27470) = 5

We will now calculate the prime factors of 27465 and 27470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27465 and 27470.

How to find the GCF of 27465 and 27470?

We will first find the prime factorization of 27465 and 27470. After we will calculate the factors of 27465 and 27470 and find the biggest common factor number .

Step-1: Prime Factorization of 27465

Prime factors of 27465 are 3, 5, 1831. Prime factorization of 27465 in exponential form is:

27465 = 3¹ × 5¹ × 1831¹

Step-2: Prime Factorization of 27470

Prime factors of 27470 are 2, 5, 41, 67. Prime factorization of 27470 in exponential form is:

27470 = 2¹ × 5¹ × 41¹ × 67¹

Step-3: Factors of 27465

List of positive integer factors of 27465 that divides 27465 without a remainder.

1, 3, 5, 15, 1831, 5493, 9155

Step-4: Factors of 27470

List of positive integer factors of 27470 that divides 27465 without a remainder.

1, 2, 5, 10, 41, 67, 82, 134, 205, 335, 410, 670, 2747, 5494, 13735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27465 and 27470. The biggest common factor number is the GCF number.
So the greatest common factor 27465 and 27470 is 5.

Also check out the Least Common Multiple of 27465 and 27470