What is the Greatest Common Factor of 76849 and 76864?

Greatest common factor (GCF) of 76849 and 76864 is 1.

GCF(76849,76864) = 1

We will now calculate the prime factors of 76849 and 76864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76849 and 76864.

How to find the GCF of 76849 and 76864?

We will first find the prime factorization of 76849 and 76864. After we will calculate the factors of 76849 and 76864 and find the biggest common factor number .

Step-1: Prime Factorization of 76849

Prime factors of 76849 are 31, 37, 67. Prime factorization of 76849 in exponential form is:

76849 = 31¹ × 37¹ × 67¹

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 76849

List of positive integer factors of 76849 that divides 76849 without a remainder.

1, 31, 37, 67, 1147, 2077, 2479

Step-4: Factors of 76864

List of positive integer factors of 76864 that divides 76849 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 76849 and 76864. The biggest common factor number is the GCF number.
So the greatest common factor 76849 and 76864 is 1.

Also check out the Least Common Multiple of 76849 and 76864