What is the Greatest Common Factor of 59559 and 59577?

Greatest common factor (GCF) of 59559 and 59577 is 3.

GCF(59559,59577) = 3

We will now calculate the prime factors of 59559 and 59577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59559 and 59577.

How to find the GCF of 59559 and 59577?

We will first find the prime factorization of 59559 and 59577. After we will calculate the factors of 59559 and 59577 and find the biggest common factor number .

Step-1: Prime Factorization of 59559

Prime factors of 59559 are 3, 19853. Prime factorization of 59559 in exponential form is:

59559 = 3¹ × 19853¹

Step-2: Prime Factorization of 59577

Prime factors of 59577 are 3, 7, 2837. Prime factorization of 59577 in exponential form is:

59577 = 3¹ × 7¹ × 2837¹

Step-3: Factors of 59559

List of positive integer factors of 59559 that divides 59559 without a remainder.

1, 3, 19853

Step-4: Factors of 59577

List of positive integer factors of 59577 that divides 59559 without a remainder.

1, 3, 7, 21, 2837, 8511, 19859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59559 and 59577. The biggest common factor number is the GCF number.
So the greatest common factor 59559 and 59577 is 3.

Also check out the Least Common Multiple of 59559 and 59577