What is the Greatest Common Factor of 58242 and 58256?

Greatest common factor (GCF) of 58242 and 58256 is 2.

GCF(58242,58256) = 2

We will now calculate the prime factors of 58242 and 58256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58242 and 58256.

How to find the GCF of 58242 and 58256?

We will first find the prime factorization of 58242 and 58256. After we will calculate the factors of 58242 and 58256 and find the biggest common factor number .

Step-1: Prime Factorization of 58242

Prime factors of 58242 are 2, 3, 17, 571. Prime factorization of 58242 in exponential form is:

58242 = 2¹ × 3¹ × 17¹ × 571¹

Step-2: Prime Factorization of 58256

Prime factors of 58256 are 2, 11, 331. Prime factorization of 58256 in exponential form is:

58256 = 2⁴ × 11¹ × 331¹

Step-3: Factors of 58242

List of positive integer factors of 58242 that divides 58242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 571, 1142, 1713, 3426, 9707, 19414, 29121

Step-4: Factors of 58256

List of positive integer factors of 58256 that divides 58242 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 331, 662, 1324, 2648, 3641, 5296, 7282, 14564, 29128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58242 and 58256. The biggest common factor number is the GCF number.
So the greatest common factor 58242 and 58256 is 2.

Also check out the Least Common Multiple of 58242 and 58256