What is the Greatest Common Factor of 81924 and 81936?

Greatest common factor (GCF) of 81924 and 81936 is 12.

GCF(81924,81936) = 12

We will now calculate the prime factors of 81924 and 81936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81924 and 81936.

How to find the GCF of 81924 and 81936?

We will first find the prime factorization of 81924 and 81936. After we will calculate the factors of 81924 and 81936 and find the biggest common factor number .

Step-1: Prime Factorization of 81924

Prime factors of 81924 are 2, 3, 6827. Prime factorization of 81924 in exponential form is:

81924 = 2² × 3¹ × 6827¹

Step-2: Prime Factorization of 81936

Prime factors of 81936 are 2, 3, 569. Prime factorization of 81936 in exponential form is:

81936 = 2⁴ × 3² × 569¹

Step-3: Factors of 81924

List of positive integer factors of 81924 that divides 81924 without a remainder.

1, 2, 3, 4, 6, 12, 6827, 13654, 20481, 27308, 40962

Step-4: Factors of 81936

List of positive integer factors of 81936 that divides 81924 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 9104, 10242, 13656, 20484, 27312, 40968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81924 and 81936. The biggest common factor number is the GCF number.
So the greatest common factor 81924 and 81936 is 12.

Also check out the Least Common Multiple of 81924 and 81936