What is the Greatest Common Factor of 81916 and 81936?

Greatest common factor (GCF) of 81916 and 81936 is 4.

GCF(81916,81936) = 4

We will now calculate the prime factors of 81916 and 81936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81916 and 81936.

How to find the GCF of 81916 and 81936?

We will first find the prime factorization of 81916 and 81936. After we will calculate the factors of 81916 and 81936 and find the biggest common factor number .

Step-1: Prime Factorization of 81916

Prime factors of 81916 are 2, 20479. Prime factorization of 81916 in exponential form is:

81916 = 2² × 20479¹

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 81916

List of positive integer factors of 81916 that divides 81916 without a remainder.

1, 2, 4, 20479, 40958

Step-4: Factors of 81936

List of positive integer factors of 81936 that divides 81916 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 81916 and 81936. The biggest common factor number is the GCF number.
So the greatest common factor 81916 and 81936 is 4.

Also check out the Least Common Multiple of 81916 and 81936