What is the Greatest Common Factor of 93810 and 93822?

Greatest common factor (GCF) of 93810 and 93822 is 6.

GCF(93810,93822) = 6

We will now calculate the prime factors of 93810 and 93822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93810 and 93822.

How to find the GCF of 93810 and 93822?

We will first find the prime factorization of 93810 and 93822. After we will calculate the factors of 93810 and 93822 and find the biggest common factor number .

Step-1: Prime Factorization of 93810

Prime factors of 93810 are 2, 3, 5, 53, 59. Prime factorization of 93810 in exponential form is:

93810 = 2¹ × 3¹ × 5¹ × 53¹ × 59¹

Step-2: Prime Factorization of 93822

Prime factors of 93822 are 2, 3, 19, 823. Prime factorization of 93822 in exponential form is:

93822 = 2¹ × 3¹ × 19¹ × 823¹

Step-3: Factors of 93810

List of positive integer factors of 93810 that divides 93810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 59, 106, 118, 159, 177, 265, 295, 318, 354, 530, 590, 795, 885, 1590, 1770, 3127, 6254, 9381, 15635, 18762, 31270, 46905

Step-4: Factors of 93822

List of positive integer factors of 93822 that divides 93810 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 823, 1646, 2469, 4938, 15637, 31274, 46911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93810 and 93822. The biggest common factor number is the GCF number.
So the greatest common factor 93810 and 93822 is 6.

Also check out the Least Common Multiple of 93810 and 93822