What is the Greatest Common Factor of 97824 and 97836?

Greatest common factor (GCF) of 97824 and 97836 is 12.

GCF(97824,97836) = 12

We will now calculate the prime factors of 97824 and 97836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97824 and 97836.

How to find the GCF of 97824 and 97836?

We will first find the prime factorization of 97824 and 97836. After we will calculate the factors of 97824 and 97836 and find the biggest common factor number .

Step-1: Prime Factorization of 97824

Prime factors of 97824 are 2, 3, 1019. Prime factorization of 97824 in exponential form is:

97824 = 2⁵ × 3¹ × 1019¹

Step-2: Prime Factorization of 97836

Prime factors of 97836 are 2, 3, 31, 263. Prime factorization of 97836 in exponential form is:

97836 = 2² × 3¹ × 31¹ × 263¹

Step-3: Factors of 97824

List of positive integer factors of 97824 that divides 97824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1019, 2038, 3057, 4076, 6114, 8152, 12228, 16304, 24456, 32608, 48912

Step-4: Factors of 97836

List of positive integer factors of 97836 that divides 97824 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 263, 372, 526, 789, 1052, 1578, 3156, 8153, 16306, 24459, 32612, 48918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97824 and 97836. The biggest common factor number is the GCF number.
So the greatest common factor 97824 and 97836 is 12.

Also check out the Least Common Multiple of 97824 and 97836