What is the Greatest Common Factor of 90104 and 90123?

Greatest common factor (GCF) of 90104 and 90123 is 1.

GCF(90104,90123) = 1

We will now calculate the prime factors of 90104 and 90123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90104 and 90123.

How to find the GCF of 90104 and 90123?

We will first find the prime factorization of 90104 and 90123. After we will calculate the factors of 90104 and 90123 and find the biggest common factor number .

Step-1: Prime Factorization of 90104

Prime factors of 90104 are 2, 7, 1609. Prime factorization of 90104 in exponential form is:

90104 = 2³ × 7¹ × 1609¹

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 90104

List of positive integer factors of 90104 that divides 90104 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1609, 3218, 6436, 11263, 12872, 22526, 45052

Step-4: Factors of 90123

List of positive integer factors of 90123 that divides 90104 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90104 and 90123. The biggest common factor number is the GCF number.
So the greatest common factor 90104 and 90123 is 1.

Also check out the Least Common Multiple of 90104 and 90123