What is the Greatest Common Factor of 90471 and 90489?

Greatest common factor (GCF) of 90471 and 90489 is 3.

GCF(90471,90489) = 3

We will now calculate the prime factors of 90471 and 90489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90471 and 90489.

How to find the GCF of 90471 and 90489?

We will first find the prime factorization of 90471 and 90489. After we will calculate the factors of 90471 and 90489 and find the biggest common factor number .

Step-1: Prime Factorization of 90471

Prime factors of 90471 are 3, 53, 569. Prime factorization of 90471 in exponential form is:

90471 = 3¹ × 53¹ × 569¹

Step-2: Prime Factorization of 90489

Prime factors of 90489 are 3, 7, 31, 139. Prime factorization of 90489 in exponential form is:

90489 = 3¹ × 7¹ × 31¹ × 139¹

Step-3: Factors of 90471

List of positive integer factors of 90471 that divides 90471 without a remainder.

1, 3, 53, 159, 569, 1707, 30157

Step-4: Factors of 90489

List of positive integer factors of 90489 that divides 90471 without a remainder.

1, 3, 7, 21, 31, 93, 139, 217, 417, 651, 973, 2919, 4309, 12927, 30163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90471 and 90489. The biggest common factor number is the GCF number.
So the greatest common factor 90471 and 90489 is 3.

Also check out the Least Common Multiple of 90471 and 90489