What is the Greatest Common Factor of 59814 and 59834?

Greatest common factor (GCF) of 59814 and 59834 is 2.

GCF(59814,59834) = 2

We will now calculate the prime factors of 59814 and 59834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59814 and 59834.

How to find the GCF of 59814 and 59834?

We will first find the prime factorization of 59814 and 59834. After we will calculate the factors of 59814 and 59834 and find the biggest common factor number .

Step-1: Prime Factorization of 59814

Prime factors of 59814 are 2, 3, 3323. Prime factorization of 59814 in exponential form is:

59814 = 2¹ × 3² × 3323¹

Step-2: Prime Factorization of 59834

Prime factors of 59834 are 2, 29917. Prime factorization of 59834 in exponential form is:

59834 = 2¹ × 29917¹

Step-3: Factors of 59814

List of positive integer factors of 59814 that divides 59814 without a remainder.

1, 2, 3, 6, 9, 18, 3323, 6646, 9969, 19938, 29907

Step-4: Factors of 59834

List of positive integer factors of 59834 that divides 59814 without a remainder.

1, 2, 29917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59814 and 59834. The biggest common factor number is the GCF number.
So the greatest common factor 59814 and 59834 is 2.

Also check out the Least Common Multiple of 59814 and 59834