What is the Greatest Common Factor of 75900 and 75915?

Greatest common factor (GCF) of 75900 and 75915 is 15.

GCF(75900,75915) = 15

We will now calculate the prime factors of 75900 and 75915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75900 and 75915.

How to find the GCF of 75900 and 75915?

We will first find the prime factorization of 75900 and 75915. After we will calculate the factors of 75900 and 75915 and find the biggest common factor number .

Step-1: Prime Factorization of 75900

Prime factors of 75900 are 2, 3, 5, 11, 23. Prime factorization of 75900 in exponential form is:

75900 = 2² × 3¹ × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 75915

Prime factors of 75915 are 3, 5, 7, 241. Prime factorization of 75915 in exponential form is:

75915 = 3² × 5¹ × 7¹ × 241¹

Step-3: Factors of 75900

List of positive integer factors of 75900 that divides 75900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 25, 30, 33, 44, 46, 50, 55, 60, 66, 69, 75, 92, 100, 110, 115, 132, 138, 150, 165, 220, 230, 253, 275, 276, 300, 330, 345, 460, 506, 550, 575, 660, 690, 759, 825, 1012, 1100, 1150, 1265, 1380, 1518, 1650, 1725, 2300, 2530, 3036, 3300, 3450, 3795, 5060, 6325, 6900, 7590, 12650, 15180, 18975, 25300, 37950

Step-4: Factors of 75915

List of positive integer factors of 75915 that divides 75900 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 241, 315, 723, 1205, 1687, 2169, 3615, 5061, 8435, 10845, 15183, 25305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75900 and 75915. The biggest common factor number is the GCF number.
So the greatest common factor 75900 and 75915 is 15.

Also check out the Least Common Multiple of 75900 and 75915