What is the Greatest Common Factor of 60588 and 60605?

Greatest common factor (GCF) of 60588 and 60605 is 17.

GCF(60588,60605) = 17

We will now calculate the prime factors of 60588 and 60605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60588 and 60605.

How to find the GCF of 60588 and 60605?

We will first find the prime factorization of 60588 and 60605. After we will calculate the factors of 60588 and 60605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60605

Prime factors of 60605 are 5, 17, 23, 31. Prime factorization of 60605 in exponential form is:

60605 = 5¹ × 17¹ × 23¹ × 31¹

Step-3: Factors of 60588

List of positive integer factors of 60588 that divides 60588 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

Step-4: Factors of 60605

List of positive integer factors of 60605 that divides 60588 without a remainder.

1, 5, 17, 23, 31, 85, 115, 155, 391, 527, 713, 1955, 2635, 3565, 12121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60588 and 60605. The biggest common factor number is the GCF number.
So the greatest common factor 60588 and 60605 is 17.

Also check out the Least Common Multiple of 60588 and 60605