What is the Greatest Common Factor of 58272 and 58289?

Greatest common factor (GCF) of 58272 and 58289 is 1.

GCF(58272,58289) = 1

We will now calculate the prime factors of 58272 and 58289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58272 and 58289.

How to find the GCF of 58272 and 58289?

We will first find the prime factorization of 58272 and 58289. After we will calculate the factors of 58272 and 58289 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58289

Prime factors of 58289 are 7, 11, 757. Prime factorization of 58289 in exponential form is:

58289 = 7¹ × 11¹ × 757¹

Step-3: Factors of 58272

List of positive integer factors of 58272 that divides 58272 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

Step-4: Factors of 58289

List of positive integer factors of 58289 that divides 58272 without a remainder.

1, 7, 11, 77, 757, 5299, 8327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58272 and 58289. The biggest common factor number is the GCF number.
So the greatest common factor 58272 and 58289 is 1.

Also check out the Least Common Multiple of 58272 and 58289