What is the Greatest Common Factor of 94809 and 94822?

Greatest common factor (GCF) of 94809 and 94822 is 13.

GCF(94809,94822) = 13

We will now calculate the prime factors of 94809 and 94822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94809 and 94822.

How to find the GCF of 94809 and 94822?

We will first find the prime factorization of 94809 and 94822. After we will calculate the factors of 94809 and 94822 and find the biggest common factor number .

Step-1: Prime Factorization of 94809

Prime factors of 94809 are 3, 11, 13, 17. Prime factorization of 94809 in exponential form is:

94809 = 3¹ × 11¹ × 13² × 17¹

Step-2: Prime Factorization of 94822

Prime factors of 94822 are 2, 7, 13, 521. Prime factorization of 94822 in exponential form is:

94822 = 2¹ × 7¹ × 13¹ × 521¹

Step-3: Factors of 94809

List of positive integer factors of 94809 that divides 94809 without a remainder.

1, 3, 11, 13, 17, 33, 39, 51, 143, 169, 187, 221, 429, 507, 561, 663, 1859, 2431, 2873, 5577, 7293, 8619, 31603

Step-4: Factors of 94822

List of positive integer factors of 94822 that divides 94809 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 521, 1042, 3647, 6773, 7294, 13546, 47411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94809 and 94822. The biggest common factor number is the GCF number.
So the greatest common factor 94809 and 94822 is 13.

Also check out the Least Common Multiple of 94809 and 94822