What is the Greatest Common Factor of 81936 and 81948?

Greatest common factor (GCF) of 81936 and 81948 is 12.

GCF(81936,81948) = 12

We will now calculate the prime factors of 81936 and 81948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81936 and 81948.

How to find the GCF of 81936 and 81948?

We will first find the prime factorization of 81936 and 81948. After we will calculate the factors of 81936 and 81948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81948

Prime factors of 81948 are 2, 3, 6829. Prime factorization of 81948 in exponential form is:

81948 = 2² × 3¹ × 6829¹

Step-3: Factors of 81936

List of positive integer factors of 81936 that divides 81936 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

Step-4: Factors of 81948

List of positive integer factors of 81948 that divides 81936 without a remainder.

1, 2, 3, 4, 6, 12, 6829, 13658, 20487, 27316, 40974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81936 and 81948. The biggest common factor number is the GCF number.
So the greatest common factor 81936 and 81948 is 12.

Also check out the Least Common Multiple of 81936 and 81948