What is the Greatest Common Factor of 95790 and 95799?

Greatest common factor (GCF) of 95790 and 95799 is 3.

GCF(95790,95799) = 3

We will now calculate the prime factors of 95790 and 95799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95790 and 95799.

How to find the GCF of 95790 and 95799?

We will first find the prime factorization of 95790 and 95799. After we will calculate the factors of 95790 and 95799 and find the biggest common factor number .

Step-1: Prime Factorization of 95790

Prime factors of 95790 are 2, 3, 5, 31, 103. Prime factorization of 95790 in exponential form is:

95790 = 2¹ × 3¹ × 5¹ × 31¹ × 103¹

Step-2: Prime Factorization of 95799

Prime factors of 95799 are 3, 11, 2903. Prime factorization of 95799 in exponential form is:

95799 = 3¹ × 11¹ × 2903¹

Step-3: Factors of 95790

List of positive integer factors of 95790 that divides 95790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 103, 155, 186, 206, 309, 310, 465, 515, 618, 930, 1030, 1545, 3090, 3193, 6386, 9579, 15965, 19158, 31930, 47895

Step-4: Factors of 95799

List of positive integer factors of 95799 that divides 95790 without a remainder.

1, 3, 11, 33, 2903, 8709, 31933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95790 and 95799. The biggest common factor number is the GCF number.
So the greatest common factor 95790 and 95799 is 3.

Also check out the Least Common Multiple of 95790 and 95799