What is the Greatest Common Factor of 59598 and 59605?

Greatest common factor (GCF) of 59598 and 59605 is 7.

GCF(59598,59605) = 7

We will now calculate the prime factors of 59598 and 59605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59598 and 59605.

How to find the GCF of 59598 and 59605?

We will first find the prime factorization of 59598 and 59605. After we will calculate the factors of 59598 and 59605 and find the biggest common factor number .

Step-1: Prime Factorization of 59598

Prime factors of 59598 are 2, 3, 7, 11, 43. Prime factorization of 59598 in exponential form is:

59598 = 2¹ × 3² × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 59605

Prime factors of 59605 are 5, 7, 13, 131. Prime factorization of 59605 in exponential form is:

59605 = 5¹ × 7¹ × 13¹ × 131¹

Step-3: Factors of 59598

List of positive integer factors of 59598 that divides 59598 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 43, 63, 66, 77, 86, 99, 126, 129, 154, 198, 231, 258, 301, 387, 462, 473, 602, 693, 774, 903, 946, 1386, 1419, 1806, 2709, 2838, 3311, 4257, 5418, 6622, 8514, 9933, 19866, 29799

Step-4: Factors of 59605

List of positive integer factors of 59605 that divides 59598 without a remainder.

1, 5, 7, 13, 35, 65, 91, 131, 455, 655, 917, 1703, 4585, 8515, 11921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59598 and 59605. The biggest common factor number is the GCF number.
So the greatest common factor 59598 and 59605 is 7.

Also check out the Least Common Multiple of 59598 and 59605