What is the Greatest Common Factor of 58259 and 58272?

Greatest common factor (GCF) of 58259 and 58272 is 1.

GCF(58259,58272) = 1

We will now calculate the prime factors of 58259 and 58272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58259 and 58272.

How to find the GCF of 58259 and 58272?

We will first find the prime factorization of 58259 and 58272. After we will calculate the factors of 58259 and 58272 and find the biggest common factor number .

Step-1: Prime Factorization of 58259

Prime factors of 58259 are 17, 23, 149. Prime factorization of 58259 in exponential form is:

58259 = 17¹ × 23¹ × 149¹

Step-2: Prime Factorization of 58272

Prime factors of 58272 are 2, 3, 607. Prime factorization of 58272 in exponential form is:

58272 = 2⁵ × 3¹ × 607¹

Step-3: Factors of 58259

List of positive integer factors of 58259 that divides 58259 without a remainder.

1, 17, 23, 149, 391, 2533, 3427

Step-4: Factors of 58272

List of positive integer factors of 58272 that divides 58259 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 607, 1214, 1821, 2428, 3642, 4856, 7284, 9712, 14568, 19424, 29136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58259 and 58272. The biggest common factor number is the GCF number.
So the greatest common factor 58259 and 58272 is 1.

Also check out the Least Common Multiple of 58259 and 58272