What is the Greatest Common Factor of 59517 and 59532?

Greatest common factor (GCF) of 59517 and 59532 is 3.

GCF(59517,59532) = 3

We will now calculate the prime factors of 59517 and 59532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59517 and 59532.

How to find the GCF of 59517 and 59532?

We will first find the prime factorization of 59517 and 59532. After we will calculate the factors of 59517 and 59532 and find the biggest common factor number .

Step-1: Prime Factorization of 59517

Prime factors of 59517 are 3, 17, 389. Prime factorization of 59517 in exponential form is:

59517 = 3² × 17¹ × 389¹

Step-2: Prime Factorization of 59532

Prime factors of 59532 are 2, 3, 11, 41. Prime factorization of 59532 in exponential form is:

59532 = 2² × 3¹ × 11² × 41¹

Step-3: Factors of 59517

List of positive integer factors of 59517 that divides 59517 without a remainder.

1, 3, 9, 17, 51, 153, 389, 1167, 3501, 6613, 19839

Step-4: Factors of 59532

List of positive integer factors of 59532 that divides 59517 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 121, 123, 132, 164, 242, 246, 363, 451, 484, 492, 726, 902, 1353, 1452, 1804, 2706, 4961, 5412, 9922, 14883, 19844, 29766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59517 and 59532. The biggest common factor number is the GCF number.
So the greatest common factor 59517 and 59532 is 3.

Also check out the Least Common Multiple of 59517 and 59532