What is the Greatest Common Factor of 27475 and 27489?

Greatest common factor (GCF) of 27475 and 27489 is 7.

GCF(27475,27489) = 7

We will now calculate the prime factors of 27475 and 27489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27475 and 27489.

How to find the GCF of 27475 and 27489?

We will first find the prime factorization of 27475 and 27489. After we will calculate the factors of 27475 and 27489 and find the biggest common factor number .

Step-1: Prime Factorization of 27475

Prime factors of 27475 are 5, 7, 157. Prime factorization of 27475 in exponential form is:

27475 = 5² × 7¹ × 157¹

Step-2: Prime Factorization of 27489

Prime factors of 27489 are 3, 7, 11, 17. Prime factorization of 27489 in exponential form is:

27489 = 3¹ × 7² × 11¹ × 17¹

Step-3: Factors of 27475

List of positive integer factors of 27475 that divides 27475 without a remainder.

1, 5, 7, 25, 35, 157, 175, 785, 1099, 3925, 5495

Step-4: Factors of 27489

List of positive integer factors of 27489 that divides 27475 without a remainder.

1, 3, 7, 11, 17, 21, 33, 49, 51, 77, 119, 147, 187, 231, 357, 539, 561, 833, 1309, 1617, 2499, 3927, 9163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27475 and 27489. The biggest common factor number is the GCF number.
So the greatest common factor 27475 and 27489 is 7.

Also check out the Least Common Multiple of 27475 and 27489