What is the Greatest Common Factor of 90060 and 90075?

Greatest common factor (GCF) of 90060 and 90075 is 15.

GCF(90060,90075) = 15

We will now calculate the prime factors of 90060 and 90075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90060 and 90075.

How to find the GCF of 90060 and 90075?

We will first find the prime factorization of 90060 and 90075. After we will calculate the factors of 90060 and 90075 and find the biggest common factor number .

Step-1: Prime Factorization of 90060

Prime factors of 90060 are 2, 3, 5, 19, 79. Prime factorization of 90060 in exponential form is:

90060 = 2² × 3¹ × 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 90075

Prime factors of 90075 are 3, 5, 1201. Prime factorization of 90075 in exponential form is:

90075 = 3¹ × 5² × 1201¹

Step-3: Factors of 90060

List of positive integer factors of 90060 that divides 90060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 79, 95, 114, 158, 190, 228, 237, 285, 316, 380, 395, 474, 570, 790, 948, 1140, 1185, 1501, 1580, 2370, 3002, 4503, 4740, 6004, 7505, 9006, 15010, 18012, 22515, 30020, 45030

Step-4: Factors of 90075

List of positive integer factors of 90075 that divides 90060 without a remainder.

1, 3, 5, 15, 25, 75, 1201, 3603, 6005, 18015, 30025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90060 and 90075. The biggest common factor number is the GCF number.
So the greatest common factor 90060 and 90075 is 15.

Also check out the Least Common Multiple of 90060 and 90075