What is the Greatest Common Factor of 27477 and 27489?

Greatest common factor (GCF) of 27477 and 27489 is 3.

GCF(27477,27489) = 3

We will now calculate the prime factors of 27477 and 27489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27477 and 27489.

How to find the GCF of 27477 and 27489?

We will first find the prime factorization of 27477 and 27489. After we will calculate the factors of 27477 and 27489 and find the biggest common factor number .

Step-1: Prime Factorization of 27477

Prime factors of 27477 are 3, 43, 71. Prime factorization of 27477 in exponential form is:

27477 = 3² × 43¹ × 71¹

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 27477

List of positive integer factors of 27477 that divides 27477 without a remainder.

1, 3, 9, 43, 71, 129, 213, 387, 639, 3053, 9159

Step-4: Factors of 27489

List of positive integer factors of 27489 that divides 27477 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 27477 and 27489. The biggest common factor number is the GCF number.
So the greatest common factor 27477 and 27489 is 3.

Also check out the Least Common Multiple of 27477 and 27489