What is the Greatest Common Factor of 94824 and 94836?

Greatest common factor (GCF) of 94824 and 94836 is 12.

GCF(94824,94836) = 12

We will now calculate the prime factors of 94824 and 94836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94824 and 94836.

How to find the GCF of 94824 and 94836?

We will first find the prime factorization of 94824 and 94836. After we will calculate the factors of 94824 and 94836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94836

Prime factors of 94836 are 2, 3, 7, 1129. Prime factorization of 94836 in exponential form is:

94836 = 2² × 3¹ × 7¹ × 1129¹

Step-3: Factors of 94824

List of positive integer factors of 94824 that divides 94824 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

Step-4: Factors of 94836

List of positive integer factors of 94836 that divides 94824 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1129, 2258, 3387, 4516, 6774, 7903, 13548, 15806, 23709, 31612, 47418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94824 and 94836. The biggest common factor number is the GCF number.
So the greatest common factor 94824 and 94836 is 12.

Also check out the Least Common Multiple of 94824 and 94836