What is the Greatest Common Factor of 90109 and 90123?

Greatest common factor (GCF) of 90109 and 90123 is 1.

GCF(90109,90123) = 1

We will now calculate the prime factors of 90109 and 90123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90109 and 90123.

How to find the GCF of 90109 and 90123?

We will first find the prime factorization of 90109 and 90123. After we will calculate the factors of 90109 and 90123 and find the biggest common factor number .

Step-1: Prime Factorization of 90109

Prime factors of 90109 are 251, 359. Prime factorization of 90109 in exponential form is:

90109 = 251¹ × 359¹

Step-2: Prime Factorization of 90123

Prime factors of 90123 are 3, 11, 2731. Prime factorization of 90123 in exponential form is:

90123 = 3¹ × 11¹ × 2731¹

Step-3: Factors of 90109

List of positive integer factors of 90109 that divides 90109 without a remainder.

1, 251, 359

Step-4: Factors of 90123

List of positive integer factors of 90123 that divides 90109 without a remainder.

1, 3, 11, 33, 2731, 8193, 30041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90109 and 90123. The biggest common factor number is the GCF number.
So the greatest common factor 90109 and 90123 is 1.

Also check out the Least Common Multiple of 90109 and 90123