What is the Greatest Common Factor of 90120 and 90129?

Greatest common factor (GCF) of 90120 and 90129 is 3.

GCF(90120,90129) = 3

We will now calculate the prime factors of 90120 and 90129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90120 and 90129.

How to find the GCF of 90120 and 90129?

We will first find the prime factorization of 90120 and 90129. After we will calculate the factors of 90120 and 90129 and find the biggest common factor number .

Step-1: Prime Factorization of 90120

Prime factors of 90120 are 2, 3, 5, 751. Prime factorization of 90120 in exponential form is:

90120 = 2³ × 3¹ × 5¹ × 751¹

Step-2: Prime Factorization of 90129

Prime factors of 90129 are 3, 13, 2311. Prime factorization of 90129 in exponential form is:

90129 = 3¹ × 13¹ × 2311¹

Step-3: Factors of 90120

List of positive integer factors of 90120 that divides 90120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 751, 1502, 2253, 3004, 3755, 4506, 6008, 7510, 9012, 11265, 15020, 18024, 22530, 30040, 45060

Step-4: Factors of 90129

List of positive integer factors of 90129 that divides 90120 without a remainder.

1, 3, 13, 39, 2311, 6933, 30043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90120 and 90129. The biggest common factor number is the GCF number.
So the greatest common factor 90120 and 90129 is 3.

Also check out the Least Common Multiple of 90120 and 90129