What is the Greatest Common Factor of 81876 and 81888?

Greatest common factor (GCF) of 81876 and 81888 is 12.

GCF(81876,81888) = 12

We will now calculate the prime factors of 81876 and 81888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81876 and 81888.

How to find the GCF of 81876 and 81888?

We will first find the prime factorization of 81876 and 81888. After we will calculate the factors of 81876 and 81888 and find the biggest common factor number .

Step-1: Prime Factorization of 81876

Prime factors of 81876 are 2, 3, 6823. Prime factorization of 81876 in exponential form is:

81876 = 2² × 3¹ × 6823¹

Step-2: Prime Factorization of 81888

Prime factors of 81888 are 2, 3, 853. Prime factorization of 81888 in exponential form is:

81888 = 2⁵ × 3¹ × 853¹

Step-3: Factors of 81876

List of positive integer factors of 81876 that divides 81876 without a remainder.

1, 2, 3, 4, 6, 12, 6823, 13646, 20469, 27292, 40938

Step-4: Factors of 81888

List of positive integer factors of 81888 that divides 81876 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 853, 1706, 2559, 3412, 5118, 6824, 10236, 13648, 20472, 27296, 40944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81876 and 81888. The biggest common factor number is the GCF number.
So the greatest common factor 81876 and 81888 is 12.

Also check out the Least Common Multiple of 81876 and 81888