What is the Greatest Common Factor of 59489 and 59508?

Greatest common factor (GCF) of 59489 and 59508 is 19.

GCF(59489,59508) = 19

We will now calculate the prime factors of 59489 and 59508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59489 and 59508.

How to find the GCF of 59489 and 59508?

We will first find the prime factorization of 59489 and 59508. After we will calculate the factors of 59489 and 59508 and find the biggest common factor number .

Step-1: Prime Factorization of 59489

Prime factors of 59489 are 19, 31, 101. Prime factorization of 59489 in exponential form is:

59489 = 19¹ × 31¹ × 101¹

Step-2: Prime Factorization of 59508

Prime factors of 59508 are 2, 3, 19, 29. Prime factorization of 59508 in exponential form is:

59508 = 2² × 3³ × 19¹ × 29¹

Step-3: Factors of 59489

List of positive integer factors of 59489 that divides 59489 without a remainder.

1, 19, 31, 101, 589, 1919, 3131

Step-4: Factors of 59508

List of positive integer factors of 59508 that divides 59489 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 29, 36, 38, 54, 57, 58, 76, 87, 108, 114, 116, 171, 174, 228, 261, 342, 348, 513, 522, 551, 684, 783, 1026, 1044, 1102, 1566, 1653, 2052, 2204, 3132, 3306, 4959, 6612, 9918, 14877, 19836, 29754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59489 and 59508. The biggest common factor number is the GCF number.
So the greatest common factor 59489 and 59508 is 19.

Also check out the Least Common Multiple of 59489 and 59508