What is the Greatest Common Factor of 75900 and 75918?

Greatest common factor (GCF) of 75900 and 75918 is 6.

GCF(75900,75918) = 6

We will now calculate the prime factors of 75900 and 75918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75900 and 75918.

How to find the GCF of 75900 and 75918?

We will first find the prime factorization of 75900 and 75918. After we will calculate the factors of 75900 and 75918 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 75918

Prime factors of 75918 are 2, 3, 12653. Prime factorization of 75918 in exponential form is:

75918 = 2¹ × 3¹ × 12653¹

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 75918

List of positive integer factors of 75918 that divides 75900 without a remainder.

1, 2, 3, 6, 12653, 25306, 37959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75900 and 75918. The biggest common factor number is the GCF number.
So the greatest common factor 75900 and 75918 is 6.

Also check out the Least Common Multiple of 75900 and 75918