What is the Greatest Common Factor of 76848 and 76864?

Greatest common factor (GCF) of 76848 and 76864 is 16.

GCF(76848,76864) = 16

We will now calculate the prime factors of 76848 and 76864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76848 and 76864.

How to find the GCF of 76848 and 76864?

We will first find the prime factorization of 76848 and 76864. After we will calculate the factors of 76848 and 76864 and find the biggest common factor number .

Step-1: Prime Factorization of 76848

Prime factors of 76848 are 2, 3, 1601. Prime factorization of 76848 in exponential form is:

76848 = 2⁴ × 3¹ × 1601¹

Step-2: Prime Factorization of 76864

Prime factors of 76864 are 2, 1201. Prime factorization of 76864 in exponential form is:

76864 = 2⁶ × 1201¹

Step-3: Factors of 76848

List of positive integer factors of 76848 that divides 76848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1601, 3202, 4803, 6404, 9606, 12808, 19212, 25616, 38424

Step-4: Factors of 76864

List of positive integer factors of 76864 that divides 76848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1201, 2402, 4804, 9608, 19216, 38432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76848 and 76864. The biggest common factor number is the GCF number.
So the greatest common factor 76848 and 76864 is 16.

Also check out the Least Common Multiple of 76848 and 76864