What is the Greatest Common Factor of 59782 and 59793?

Greatest common factor (GCF) of 59782 and 59793 is 1.

GCF(59782,59793) = 1

We will now calculate the prime factors of 59782 and 59793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59782 and 59793.

How to find the GCF of 59782 and 59793?

We will first find the prime factorization of 59782 and 59793. After we will calculate the factors of 59782 and 59793 and find the biggest common factor number .

Step-1: Prime Factorization of 59782

Prime factors of 59782 are 2, 71, 421. Prime factorization of 59782 in exponential form is:

59782 = 2¹ × 71¹ × 421¹

Step-2: Prime Factorization of 59793

Prime factors of 59793 are 3, 19, 1049. Prime factorization of 59793 in exponential form is:

59793 = 3¹ × 19¹ × 1049¹

Step-3: Factors of 59782

List of positive integer factors of 59782 that divides 59782 without a remainder.

1, 2, 71, 142, 421, 842, 29891

Step-4: Factors of 59793

List of positive integer factors of 59793 that divides 59782 without a remainder.

1, 3, 19, 57, 1049, 3147, 19931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59782 and 59793. The biggest common factor number is the GCF number.
So the greatest common factor 59782 and 59793 is 1.

Also check out the Least Common Multiple of 59782 and 59793