What is the Greatest Common Factor of 76286 and 76293?

Greatest common factor (GCF) of 76286 and 76293 is 7.

GCF(76286,76293) = 7

We will now calculate the prime factors of 76286 and 76293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76286 and 76293.

How to find the GCF of 76286 and 76293?

We will first find the prime factorization of 76286 and 76293. After we will calculate the factors of 76286 and 76293 and find the biggest common factor number .

Step-1: Prime Factorization of 76286

Prime factors of 76286 are 2, 7, 5449. Prime factorization of 76286 in exponential form is:

76286 = 2¹ × 7¹ × 5449¹

Step-2: Prime Factorization of 76293

Prime factors of 76293 are 3, 7, 173. Prime factorization of 76293 in exponential form is:

76293 = 3² × 7² × 173¹

Step-3: Factors of 76286

List of positive integer factors of 76286 that divides 76286 without a remainder.

1, 2, 7, 14, 5449, 10898, 38143

Step-4: Factors of 76293

List of positive integer factors of 76293 that divides 76286 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 173, 441, 519, 1211, 1557, 3633, 8477, 10899, 25431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76286 and 76293. The biggest common factor number is the GCF number.
So the greatest common factor 76286 and 76293 is 7.

Also check out the Least Common Multiple of 76286 and 76293