What is the Greatest Common Factor of 59304 and 59324?

Greatest common factor (GCF) of 59304 and 59324 is 4.

GCF(59304,59324) = 4

We will now calculate the prime factors of 59304 and 59324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59304 and 59324.

How to find the GCF of 59304 and 59324?

We will first find the prime factorization of 59304 and 59324. After we will calculate the factors of 59304 and 59324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59324

Prime factors of 59324 are 2, 14831. Prime factorization of 59324 in exponential form is:

59324 = 2² × 14831¹

Step-3: Factors of 59304

List of positive integer factors of 59304 that divides 59304 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

Step-4: Factors of 59324

List of positive integer factors of 59324 that divides 59304 without a remainder.

1, 2, 4, 14831, 29662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59304 and 59324. The biggest common factor number is the GCF number.
So the greatest common factor 59304 and 59324 is 4.

Also check out the Least Common Multiple of 59304 and 59324