What is the Greatest Common Factor of 59508 and 59527?

Greatest common factor (GCF) of 59508 and 59527 is 19.

GCF(59508,59527) = 19

We will now calculate the prime factors of 59508 and 59527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59508 and 59527.

How to find the GCF of 59508 and 59527?

We will first find the prime factorization of 59508 and 59527. After we will calculate the factors of 59508 and 59527 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59527

Prime factors of 59527 are 13, 19, 241. Prime factorization of 59527 in exponential form is:

59527 = 13¹ × 19¹ × 241¹

Step-3: Factors of 59508

List of positive integer factors of 59508 that divides 59508 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

Step-4: Factors of 59527

List of positive integer factors of 59527 that divides 59508 without a remainder.

1, 13, 19, 241, 247, 3133, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59508 and 59527. The biggest common factor number is the GCF number.
So the greatest common factor 59508 and 59527 is 19.

Also check out the Least Common Multiple of 59508 and 59527