What is the Greatest Common Factor of 76287 and 76298?

Greatest common factor (GCF) of 76287 and 76298 is 1.

GCF(76287,76298) = 1

We will now calculate the prime factors of 76287 and 76298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76287 and 76298.

How to find the GCF of 76287 and 76298?

We will first find the prime factorization of 76287 and 76298. After we will calculate the factors of 76287 and 76298 and find the biggest common factor number .

Step-1: Prime Factorization of 76287

Prime factors of 76287 are 3, 59, 431. Prime factorization of 76287 in exponential form is:

76287 = 3¹ × 59¹ × 431¹

Step-2: Prime Factorization of 76298

Prime factors of 76298 are 2, 38149. Prime factorization of 76298 in exponential form is:

76298 = 2¹ × 38149¹

Step-3: Factors of 76287

List of positive integer factors of 76287 that divides 76287 without a remainder.

1, 3, 59, 177, 431, 1293, 25429

Step-4: Factors of 76298

List of positive integer factors of 76298 that divides 76287 without a remainder.

1, 2, 38149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76287 and 76298. The biggest common factor number is the GCF number.
So the greatest common factor 76287 and 76298 is 1.

Also check out the Least Common Multiple of 76287 and 76298