What is the Greatest Common Factor of 59298 and 59304?

Greatest common factor (GCF) of 59298 and 59304 is 6.

GCF(59298,59304) = 6

We will now calculate the prime factors of 59298 and 59304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59298 and 59304.

How to find the GCF of 59298 and 59304?

We will first find the prime factorization of 59298 and 59304. After we will calculate the factors of 59298 and 59304 and find the biggest common factor number .

Step-1: Prime Factorization of 59298

Prime factors of 59298 are 2, 3, 9883. Prime factorization of 59298 in exponential form is:

59298 = 2¹ × 3¹ × 9883¹

Step-2: Prime Factorization of 59304

Prime factors of 59304 are 2, 3, 7, 353. Prime factorization of 59304 in exponential form is:

59304 = 2³ × 3¹ × 7¹ × 353¹

Step-3: Factors of 59298

List of positive integer factors of 59298 that divides 59298 without a remainder.

1, 2, 3, 6, 9883, 19766, 29649

Step-4: Factors of 59304

List of positive integer factors of 59304 that divides 59298 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 353, 706, 1059, 1412, 2118, 2471, 2824, 4236, 4942, 7413, 8472, 9884, 14826, 19768, 29652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59298 and 59304. The biggest common factor number is the GCF number.
So the greatest common factor 59298 and 59304 is 6.

Also check out the Least Common Multiple of 59298 and 59304