What is the Greatest Common Factor of 59312 and 59322?

Greatest common factor (GCF) of 59312 and 59322 is 2.

GCF(59312,59322) = 2

We will now calculate the prime factors of 59312 and 59322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59312 and 59322.

How to find the GCF of 59312 and 59322?

We will first find the prime factorization of 59312 and 59322. After we will calculate the factors of 59312 and 59322 and find the biggest common factor number .

Step-1: Prime Factorization of 59312

Prime factors of 59312 are 2, 11, 337. Prime factorization of 59312 in exponential form is:

59312 = 2⁴ × 11¹ × 337¹

Step-2: Prime Factorization of 59322

Prime factors of 59322 are 2, 3, 9887. Prime factorization of 59322 in exponential form is:

59322 = 2¹ × 3¹ × 9887¹

Step-3: Factors of 59312

List of positive integer factors of 59312 that divides 59312 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 337, 674, 1348, 2696, 3707, 5392, 7414, 14828, 29656

Step-4: Factors of 59322

List of positive integer factors of 59322 that divides 59312 without a remainder.

1, 2, 3, 6, 9887, 19774, 29661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59312 and 59322. The biggest common factor number is the GCF number.
So the greatest common factor 59312 and 59322 is 2.

Also check out the Least Common Multiple of 59312 and 59322