What is the Greatest Common Factor of 76850 and 76864?

Greatest common factor (GCF) of 76850 and 76864 is 2.

GCF(76850,76864) = 2

We will now calculate the prime factors of 76850 and 76864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76850 and 76864.

How to find the GCF of 76850 and 76864?

We will first find the prime factorization of 76850 and 76864. After we will calculate the factors of 76850 and 76864 and find the biggest common factor number .

Step-1: Prime Factorization of 76850

Prime factors of 76850 are 2, 5, 29, 53. Prime factorization of 76850 in exponential form is:

76850 = 2¹ × 5² × 29¹ × 53¹

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 76850

List of positive integer factors of 76850 that divides 76850 without a remainder.

1, 2, 5, 10, 25, 29, 50, 53, 58, 106, 145, 265, 290, 530, 725, 1325, 1450, 1537, 2650, 3074, 7685, 15370, 38425

Step-4: Factors of 76864

List of positive integer factors of 76864 that divides 76850 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 76850 and 76864. The biggest common factor number is the GCF number.
So the greatest common factor 76850 and 76864 is 2.

Also check out the Least Common Multiple of 76850 and 76864