What is the Greatest Common Factor of 90489 and 90509?

Greatest common factor (GCF) of 90489 and 90509 is 1.

GCF(90489,90509) = 1

We will now calculate the prime factors of 90489 and 90509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90489 and 90509.

How to find the GCF of 90489 and 90509?

We will first find the prime factorization of 90489 and 90509. After we will calculate the factors of 90489 and 90509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90509

Prime factors of 90509 are 29, 3121. Prime factorization of 90509 in exponential form is:

90509 = 29¹ × 3121¹

Step-3: Factors of 90489

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

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

Step-4: Factors of 90509

List of positive integer factors of 90509 that divides 90489 without a remainder.

1, 29, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90489 and 90509. The biggest common factor number is the GCF number.
So the greatest common factor 90489 and 90509 is 1.

Also check out the Least Common Multiple of 90489 and 90509