What is the Greatest Common Factor of 59600 and 59604?

Greatest common factor (GCF) of 59600 and 59604 is 4.

GCF(59600,59604) = 4

We will now calculate the prime factors of 59600 and 59604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59600 and 59604.

How to find the GCF of 59600 and 59604?

We will first find the prime factorization of 59600 and 59604. After we will calculate the factors of 59600 and 59604 and find the biggest common factor number .

Step-1: Prime Factorization of 59600

Prime factors of 59600 are 2, 5, 149. Prime factorization of 59600 in exponential form is:

59600 = 2⁴ × 5² × 149¹

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 59600

List of positive integer factors of 59600 that divides 59600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 149, 200, 298, 400, 596, 745, 1192, 1490, 2384, 2980, 3725, 5960, 7450, 11920, 14900, 29800

Step-4: Factors of 59604

List of positive integer factors of 59604 that divides 59600 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 59600 and 59604. The biggest common factor number is the GCF number.
So the greatest common factor 59600 and 59604 is 4.

Also check out the Least Common Multiple of 59600 and 59604