What is the Greatest Common Factor of 76258 and 76267?

Greatest common factor (GCF) of 76258 and 76267 is 1.

GCF(76258,76267) = 1

We will now calculate the prime factors of 76258 and 76267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76258 and 76267.

How to find the GCF of 76258 and 76267?

We will first find the prime factorization of 76258 and 76267. After we will calculate the factors of 76258 and 76267 and find the biggest common factor number .

Step-1: Prime Factorization of 76258

Prime factors of 76258 are 2, 7, 13, 419. Prime factorization of 76258 in exponential form is:

76258 = 2¹ × 7¹ × 13¹ × 419¹

Step-2: Prime Factorization of 76267

Prime factors of 76267 are 53, 1439. Prime factorization of 76267 in exponential form is:

76267 = 53¹ × 1439¹

Step-3: Factors of 76258

List of positive integer factors of 76258 that divides 76258 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 419, 838, 2933, 5447, 5866, 10894, 38129

Step-4: Factors of 76267

List of positive integer factors of 76267 that divides 76258 without a remainder.

1, 53, 1439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76258 and 76267. The biggest common factor number is the GCF number.
So the greatest common factor 76258 and 76267 is 1.

Also check out the Least Common Multiple of 76258 and 76267