What is the Greatest Common Factor of 46321 and 46339?

Greatest common factor (GCF) of 46321 and 46339 is 1.

GCF(46321,46339) = 1

We will now calculate the prime factors of 46321 and 46339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46321 and 46339.

How to find the GCF of 46321 and 46339?

We will first find the prime factorization of 46321 and 46339. After we will calculate the factors of 46321 and 46339 and find the biggest common factor number .

Step-1: Prime Factorization of 46321

Prime factors of 46321 are 11, 4211. Prime factorization of 46321 in exponential form is:

46321 = 11¹ × 4211¹

Step-2: Prime Factorization of 46339

Prime factors of 46339 are 149, 311. Prime factorization of 46339 in exponential form is:

46339 = 149¹ × 311¹

Step-3: Factors of 46321

List of positive integer factors of 46321 that divides 46321 without a remainder.

1, 11, 4211

Step-4: Factors of 46339

List of positive integer factors of 46339 that divides 46321 without a remainder.

1, 149, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46321 and 46339. The biggest common factor number is the GCF number.
So the greatest common factor 46321 and 46339 is 1.

Also check out the Least Common Multiple of 46321 and 46339