What is the Greatest Common Factor of 94806 and 94824?

Greatest common factor (GCF) of 94806 and 94824 is 18.

GCF(94806,94824) = 18

We will now calculate the prime factors of 94806 and 94824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94806 and 94824.

How to find the GCF of 94806 and 94824?

We will first find the prime factorization of 94806 and 94824. After we will calculate the factors of 94806 and 94824 and find the biggest common factor number .

Step-1: Prime Factorization of 94806

Prime factors of 94806 are 2, 3, 23, 229. Prime factorization of 94806 in exponential form is:

94806 = 2¹ × 3² × 23¹ × 229¹

Step-2: Prime Factorization of 94824

Prime factors of 94824 are 2, 3, 439. Prime factorization of 94824 in exponential form is:

94824 = 2³ × 3³ × 439¹

Step-3: Factors of 94806

List of positive integer factors of 94806 that divides 94806 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 229, 414, 458, 687, 1374, 2061, 4122, 5267, 10534, 15801, 31602, 47403

Step-4: Factors of 94824

List of positive integer factors of 94824 that divides 94806 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 439, 878, 1317, 1756, 2634, 3512, 3951, 5268, 7902, 10536, 11853, 15804, 23706, 31608, 47412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94806 and 94824. The biggest common factor number is the GCF number.
So the greatest common factor 94806 and 94824 is 18.

Also check out the Least Common Multiple of 94806 and 94824