What is the Greatest Common Factor of 59316 and 59330?

Greatest common factor (GCF) of 59316 and 59330 is 2.

GCF(59316,59330) = 2

We will now calculate the prime factors of 59316 and 59330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59316 and 59330.

How to find the GCF of 59316 and 59330?

We will first find the prime factorization of 59316 and 59330. After we will calculate the factors of 59316 and 59330 and find the biggest common factor number .

Step-1: Prime Factorization of 59316

Prime factors of 59316 are 2, 3, 4943. Prime factorization of 59316 in exponential form is:

59316 = 2² × 3¹ × 4943¹

Step-2: Prime Factorization of 59330

Prime factors of 59330 are 2, 5, 17, 349. Prime factorization of 59330 in exponential form is:

59330 = 2¹ × 5¹ × 17¹ × 349¹

Step-3: Factors of 59316

List of positive integer factors of 59316 that divides 59316 without a remainder.

1, 2, 3, 4, 6, 12, 4943, 9886, 14829, 19772, 29658

Step-4: Factors of 59330

List of positive integer factors of 59330 that divides 59316 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 349, 698, 1745, 3490, 5933, 11866, 29665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59316 and 59330. The biggest common factor number is the GCF number.
So the greatest common factor 59316 and 59330 is 2.

Also check out the Least Common Multiple of 59316 and 59330