What is the Greatest Common Factor of 90060 and 90072?

Greatest common factor (GCF) of 90060 and 90072 is 12.

GCF(90060,90072) = 12

We will now calculate the prime factors of 90060 and 90072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90060 and 90072.

How to find the GCF of 90060 and 90072?

We will first find the prime factorization of 90060 and 90072. After we will calculate the factors of 90060 and 90072 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 90072

Prime factors of 90072 are 2, 3, 139. Prime factorization of 90072 in exponential form is:

90072 = 2³ × 3⁴ × 139¹

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 90072

List of positive integer factors of 90072 that divides 90060 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 139, 162, 216, 278, 324, 417, 556, 648, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 11259, 15012, 22518, 30024, 45036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90060 and 90072. The biggest common factor number is the GCF number.
So the greatest common factor 90060 and 90072 is 12.

Also check out the Least Common Multiple of 90060 and 90072