What is the Greatest Common Factor of 75900 and 75914?

Greatest common factor (GCF) of 75900 and 75914 is 2.

GCF(75900,75914) = 2

We will now calculate the prime factors of 75900 and 75914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75900 and 75914.

How to find the GCF of 75900 and 75914?

We will first find the prime factorization of 75900 and 75914. After we will calculate the factors of 75900 and 75914 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 75914

Prime factors of 75914 are 2, 37957. Prime factorization of 75914 in exponential form is:

75914 = 2¹ × 37957¹

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 75914

List of positive integer factors of 75914 that divides 75900 without a remainder.

1, 2, 37957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75900 and 75914. The biggest common factor number is the GCF number.
So the greatest common factor 75900 and 75914 is 2.

Also check out the Least Common Multiple of 75900 and 75914