What is the Greatest Common Factor of 75800 and 75820?

Greatest common factor (GCF) of 75800 and 75820 is 20.

GCF(75800,75820) = 20

We will now calculate the prime factors of 75800 and 75820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75800 and 75820.

How to find the GCF of 75800 and 75820?

We will first find the prime factorization of 75800 and 75820. After we will calculate the factors of 75800 and 75820 and find the biggest common factor number .

Step-1: Prime Factorization of 75800

Prime factors of 75800 are 2, 5, 379. Prime factorization of 75800 in exponential form is:

75800 = 2³ × 5² × 379¹

Step-2: Prime Factorization of 75820

Prime factors of 75820 are 2, 5, 17, 223. Prime factorization of 75820 in exponential form is:

75820 = 2² × 5¹ × 17¹ × 223¹

Step-3: Factors of 75800

List of positive integer factors of 75800 that divides 75800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 379, 758, 1516, 1895, 3032, 3790, 7580, 9475, 15160, 18950, 37900

Step-4: Factors of 75820

List of positive integer factors of 75820 that divides 75800 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 223, 340, 446, 892, 1115, 2230, 3791, 4460, 7582, 15164, 18955, 37910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75800 and 75820. The biggest common factor number is the GCF number.
So the greatest common factor 75800 and 75820 is 20.

Also check out the Least Common Multiple of 75800 and 75820