What is the Greatest Common Factor of 59588 and 59604?

Greatest common factor (GCF) of 59588 and 59604 is 4.

GCF(59588,59604) = 4

We will now calculate the prime factors of 59588 and 59604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59588 and 59604.

How to find the GCF of 59588 and 59604?

We will first find the prime factorization of 59588 and 59604. After we will calculate the factors of 59588 and 59604 and find the biggest common factor number .

Step-1: Prime Factorization of 59588

Prime factors of 59588 are 2, 14897. Prime factorization of 59588 in exponential form is:

59588 = 2² × 14897¹

Step-2: Prime Factorization of 59604

Prime factors of 59604 are 2, 3, 4967. Prime factorization of 59604 in exponential form is:

59604 = 2² × 3¹ × 4967¹

Step-3: Factors of 59588

List of positive integer factors of 59588 that divides 59588 without a remainder.

1, 2, 4, 14897, 29794

Step-4: Factors of 59604

List of positive integer factors of 59604 that divides 59588 without a remainder.

1, 2, 3, 4, 6, 12, 4967, 9934, 14901, 19868, 29802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59588 and 59604. The biggest common factor number is the GCF number.
So the greatest common factor 59588 and 59604 is 4.

Also check out the Least Common Multiple of 59588 and 59604