What is the Greatest Common Factor of 58282 and 58288?

Greatest common factor (GCF) of 58282 and 58288 is 2.

GCF(58282,58288) = 2

We will now calculate the prime factors of 58282 and 58288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58282 and 58288.

How to find the GCF of 58282 and 58288?

We will first find the prime factorization of 58282 and 58288. After we will calculate the factors of 58282 and 58288 and find the biggest common factor number .

Step-1: Prime Factorization of 58282

Prime factors of 58282 are 2, 7, 23, 181. Prime factorization of 58282 in exponential form is:

58282 = 2¹ × 7¹ × 23¹ × 181¹

Step-2: Prime Factorization of 58288

Prime factors of 58288 are 2, 3643. Prime factorization of 58288 in exponential form is:

58288 = 2⁴ × 3643¹

Step-3: Factors of 58282

List of positive integer factors of 58282 that divides 58282 without a remainder.

1, 2, 7, 14, 23, 46, 161, 181, 322, 362, 1267, 2534, 4163, 8326, 29141

Step-4: Factors of 58288

List of positive integer factors of 58288 that divides 58282 without a remainder.

1, 2, 4, 8, 16, 3643, 7286, 14572, 29144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58282 and 58288. The biggest common factor number is the GCF number.
So the greatest common factor 58282 and 58288 is 2.

Also check out the Least Common Multiple of 58282 and 58288