What is the Greatest Common Factor of 75480 and 75489?

Greatest common factor (GCF) of 75480 and 75489 is 3.

GCF(75480,75489) = 3

We will now calculate the prime factors of 75480 and 75489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75480 and 75489.

How to find the GCF of 75480 and 75489?

We will first find the prime factorization of 75480 and 75489. After we will calculate the factors of 75480 and 75489 and find the biggest common factor number .

Step-1: Prime Factorization of 75480

Prime factors of 75480 are 2, 3, 5, 17, 37. Prime factorization of 75480 in exponential form is:

75480 = 2³ × 3¹ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 75489

Prime factors of 75489 are 3, 25163. Prime factorization of 75489 in exponential form is:

75489 = 3¹ × 25163¹

Step-3: Factors of 75480

List of positive integer factors of 75480 that divides 75480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 37, 40, 51, 60, 68, 74, 85, 102, 111, 120, 136, 148, 170, 185, 204, 222, 255, 296, 340, 370, 408, 444, 510, 555, 629, 680, 740, 888, 1020, 1110, 1258, 1480, 1887, 2040, 2220, 2516, 3145, 3774, 4440, 5032, 6290, 7548, 9435, 12580, 15096, 18870, 25160, 37740

Step-4: Factors of 75489

List of positive integer factors of 75489 that divides 75480 without a remainder.

1, 3, 25163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75480 and 75489. The biggest common factor number is the GCF number.
So the greatest common factor 75480 and 75489 is 3.

Also check out the Least Common Multiple of 75480 and 75489