What is the Greatest Common Factor of 76849 and 76869?

Greatest common factor (GCF) of 76849 and 76869 is 1.

GCF(76849,76869) = 1

We will now calculate the prime factors of 76849 and 76869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76849 and 76869.

How to find the GCF of 76849 and 76869?

We will first find the prime factorization of 76849 and 76869. After we will calculate the factors of 76849 and 76869 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 76869

Prime factors of 76869 are 3, 13, 73. Prime factorization of 76869 in exponential form is:

76869 = 3⁴ × 13¹ × 73¹

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 76869

List of positive integer factors of 76869 that divides 76849 without a remainder.

1, 3, 9, 13, 27, 39, 73, 81, 117, 219, 351, 657, 949, 1053, 1971, 2847, 5913, 8541, 25623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76849 and 76869. The biggest common factor number is the GCF number.
So the greatest common factor 76849 and 76869 is 1.

Also check out the Least Common Multiple of 76849 and 76869