What is the Greatest Common Factor of 59217 and 59223?

Greatest common factor (GCF) of 59217 and 59223 is 3.

GCF(59217,59223) = 3

We will now calculate the prime factors of 59217 and 59223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59217 and 59223.

How to find the GCF of 59217 and 59223?

We will first find the prime factorization of 59217 and 59223. After we will calculate the factors of 59217 and 59223 and find the biggest common factor number .

Step-1: Prime Factorization of 59217

Prime factors of 59217 are 3, 19739. Prime factorization of 59217 in exponential form is:

59217 = 3¹ × 19739¹

Step-2: Prime Factorization of 59223

Prime factors of 59223 are 3, 19, 1039. Prime factorization of 59223 in exponential form is:

59223 = 3¹ × 19¹ × 1039¹

Step-3: Factors of 59217

List of positive integer factors of 59217 that divides 59217 without a remainder.

1, 3, 19739

Step-4: Factors of 59223

List of positive integer factors of 59223 that divides 59217 without a remainder.

1, 3, 19, 57, 1039, 3117, 19741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59217 and 59223. The biggest common factor number is the GCF number.
So the greatest common factor 59217 and 59223 is 3.

Also check out the Least Common Multiple of 59217 and 59223