What is the Greatest Common Factor of 46779 and 46790?

Greatest common factor (GCF) of 46779 and 46790 is 1.

GCF(46779,46790) = 1

We will now calculate the prime factors of 46779 and 46790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46779 and 46790.

How to find the GCF of 46779 and 46790?

We will first find the prime factorization of 46779 and 46790. After we will calculate the factors of 46779 and 46790 and find the biggest common factor number .

Step-1: Prime Factorization of 46779

Prime factors of 46779 are 3, 31, 503. Prime factorization of 46779 in exponential form is:

46779 = 3¹ × 31¹ × 503¹

Step-2: Prime Factorization of 46790

Prime factors of 46790 are 2, 5, 4679. Prime factorization of 46790 in exponential form is:

46790 = 2¹ × 5¹ × 4679¹

Step-3: Factors of 46779

List of positive integer factors of 46779 that divides 46779 without a remainder.

1, 3, 31, 93, 503, 1509, 15593

Step-4: Factors of 46790

List of positive integer factors of 46790 that divides 46779 without a remainder.

1, 2, 5, 10, 4679, 9358, 23395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46779 and 46790. The biggest common factor number is the GCF number.
So the greatest common factor 46779 and 46790 is 1.

Also check out the Least Common Multiple of 46779 and 46790