What is the Greatest Common Factor of 75480 and 75495?

Greatest common factor (GCF) of 75480 and 75495 is 15.

GCF(75480,75495) = 15

We will now calculate the prime factors of 75480 and 75495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75480 and 75495.

How to find the GCF of 75480 and 75495?

We will first find the prime factorization of 75480 and 75495. After we will calculate the factors of 75480 and 75495 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 75495

Prime factors of 75495 are 3, 5, 7, 719. Prime factorization of 75495 in exponential form is:

75495 = 3¹ × 5¹ × 7¹ × 719¹

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 75495

List of positive integer factors of 75495 that divides 75480 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 719, 2157, 3595, 5033, 10785, 15099, 25165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75480 and 75495. The biggest common factor number is the GCF number.
So the greatest common factor 75480 and 75495 is 15.

Also check out the Least Common Multiple of 75480 and 75495