What is the Greatest Common Factor of 60581 and 60588?

Greatest common factor (GCF) of 60581 and 60588 is 1.

GCF(60581,60588) = 1

We will now calculate the prime factors of 60581 and 60588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60581 and 60588.

How to find the GCF of 60581 and 60588?

We will first find the prime factorization of 60581 and 60588. After we will calculate the factors of 60581 and 60588 and find the biggest common factor number .

Step-1: Prime Factorization of 60581

Prime factors of 60581 are 29, 2089. Prime factorization of 60581 in exponential form is:

60581 = 29¹ × 2089¹

Step-2: Prime Factorization of 60588

Prime factors of 60588 are 2, 3, 11, 17. Prime factorization of 60588 in exponential form is:

60588 = 2² × 3⁴ × 11¹ × 17¹

Step-3: Factors of 60581

List of positive integer factors of 60581 that divides 60581 without a remainder.

1, 29, 2089

Step-4: Factors of 60588

List of positive integer factors of 60588 that divides 60581 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 27, 33, 34, 36, 44, 51, 54, 66, 68, 81, 99, 102, 108, 132, 153, 162, 187, 198, 204, 297, 306, 324, 374, 396, 459, 561, 594, 612, 748, 891, 918, 1122, 1188, 1377, 1683, 1782, 1836, 2244, 2754, 3366, 3564, 5049, 5508, 6732, 10098, 15147, 20196, 30294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60581 and 60588. The biggest common factor number is the GCF number.
So the greatest common factor 60581 and 60588 is 1.

Also check out the Least Common Multiple of 60581 and 60588