What is the Greatest Common Factor of 76287 and 76307?

Greatest common factor (GCF) of 76287 and 76307 is 1.

GCF(76287,76307) = 1

We will now calculate the prime factors of 76287 and 76307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76287 and 76307.

How to find the GCF of 76287 and 76307?

We will first find the prime factorization of 76287 and 76307. After we will calculate the factors of 76287 and 76307 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 76307

Prime factors of 76307 are 7, 11, 991. Prime factorization of 76307 in exponential form is:

76307 = 7¹ × 11¹ × 991¹

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 76307

List of positive integer factors of 76307 that divides 76287 without a remainder.

1, 7, 11, 77, 991, 6937, 10901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76287 and 76307. The biggest common factor number is the GCF number.
So the greatest common factor 76287 and 76307 is 1.

Also check out the Least Common Multiple of 76287 and 76307