What is the Greatest Common Factor of 95800 and 95820?

Greatest common factor (GCF) of 95800 and 95820 is 20.

GCF(95800,95820) = 20

We will now calculate the prime factors of 95800 and 95820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95800 and 95820.

How to find the GCF of 95800 and 95820?

We will first find the prime factorization of 95800 and 95820. After we will calculate the factors of 95800 and 95820 and find the biggest common factor number .

Step-1: Prime Factorization of 95800

Prime factors of 95800 are 2, 5, 479. Prime factorization of 95800 in exponential form is:

95800 = 2³ × 5² × 479¹

Step-2: Prime Factorization of 95820

Prime factors of 95820 are 2, 3, 5, 1597. Prime factorization of 95820 in exponential form is:

95820 = 2² × 3¹ × 5¹ × 1597¹

Step-3: Factors of 95800

List of positive integer factors of 95800 that divides 95800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 479, 958, 1916, 2395, 3832, 4790, 9580, 11975, 19160, 23950, 47900

Step-4: Factors of 95820

List of positive integer factors of 95820 that divides 95800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1597, 3194, 4791, 6388, 7985, 9582, 15970, 19164, 23955, 31940, 47910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95800 and 95820. The biggest common factor number is the GCF number.
So the greatest common factor 95800 and 95820 is 20.

Also check out the Least Common Multiple of 95800 and 95820