What is the Greatest Common Factor of 76287 and 76302?

Greatest common factor (GCF) of 76287 and 76302 is 3.

GCF(76287,76302) = 3

We will now calculate the prime factors of 76287 and 76302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76287 and 76302.

How to find the GCF of 76287 and 76302?

We will first find the prime factorization of 76287 and 76302. After we will calculate the factors of 76287 and 76302 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 76302

Prime factors of 76302 are 2, 3, 157. Prime factorization of 76302 in exponential form is:

76302 = 2¹ × 3⁵ × 157¹

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 76302

List of positive integer factors of 76302 that divides 76287 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 157, 162, 243, 314, 471, 486, 942, 1413, 2826, 4239, 8478, 12717, 25434, 38151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76287 and 76302. The biggest common factor number is the GCF number.
So the greatest common factor 76287 and 76302 is 3.

Also check out the Least Common Multiple of 76287 and 76302