What is the Greatest Common Factor of 75900 and 75916?

Greatest common factor (GCF) of 75900 and 75916 is 4.

GCF(75900,75916) = 4

We will now calculate the prime factors of 75900 and 75916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75900 and 75916.

How to find the GCF of 75900 and 75916?

We will first find the prime factorization of 75900 and 75916. After we will calculate the factors of 75900 and 75916 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 75916

Prime factors of 75916 are 2, 18979. Prime factorization of 75916 in exponential form is:

75916 = 2² × 18979¹

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 75916

List of positive integer factors of 75916 that divides 75900 without a remainder.

1, 2, 4, 18979, 37958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75900 and 75916. The biggest common factor number is the GCF number.
So the greatest common factor 75900 and 75916 is 4.

Also check out the Least Common Multiple of 75900 and 75916