What is the Greatest Common Factor of 90123 and 90138?

Greatest common factor (GCF) of 90123 and 90138 is 3.

GCF(90123,90138) = 3

We will now calculate the prime factors of 90123 and 90138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90123 and 90138.

How to find the GCF of 90123 and 90138?

We will first find the prime factorization of 90123 and 90138. After we will calculate the factors of 90123 and 90138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90138

Prime factors of 90138 are 2, 3, 83, 181. Prime factorization of 90138 in exponential form is:

90138 = 2¹ × 3¹ × 83¹ × 181¹

Step-3: Factors of 90123

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

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

Step-4: Factors of 90138

List of positive integer factors of 90138 that divides 90123 without a remainder.

1, 2, 3, 6, 83, 166, 181, 249, 362, 498, 543, 1086, 15023, 30046, 45069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90123 and 90138. The biggest common factor number is the GCF number.
So the greatest common factor 90123 and 90138 is 3.

Also check out the Least Common Multiple of 90123 and 90138