What is the Greatest Common Factor of 94810 and 94829?

Greatest common factor (GCF) of 94810 and 94829 is 19.

GCF(94810,94829) = 19

We will now calculate the prime factors of 94810 and 94829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94810 and 94829.

How to find the GCF of 94810 and 94829?

We will first find the prime factorization of 94810 and 94829. After we will calculate the factors of 94810 and 94829 and find the biggest common factor number .

Step-1: Prime Factorization of 94810

Prime factors of 94810 are 2, 5, 19, 499. Prime factorization of 94810 in exponential form is:

94810 = 2¹ × 5¹ × 19¹ × 499¹

Step-2: Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 7¹ × 19¹ × 23¹ × 31¹

Step-3: Factors of 94810

List of positive integer factors of 94810 that divides 94810 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 499, 998, 2495, 4990, 9481, 18962, 47405

Step-4: Factors of 94829

List of positive integer factors of 94829 that divides 94810 without a remainder.

1, 7, 19, 23, 31, 133, 161, 217, 437, 589, 713, 3059, 4123, 4991, 13547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94810 and 94829. The biggest common factor number is the GCF number.
So the greatest common factor 94810 and 94829 is 19.

Also check out the Least Common Multiple of 94810 and 94829