What is the Greatest Common Factor of 46339 and 46345?

Greatest common factor (GCF) of 46339 and 46345 is 1.

GCF(46339,46345) = 1

We will now calculate the prime factors of 46339 and 46345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46339 and 46345.

How to find the GCF of 46339 and 46345?

We will first find the prime factorization of 46339 and 46345. After we will calculate the factors of 46339 and 46345 and find the biggest common factor number .

Step-1: Prime Factorization of 46339

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

46339 = 149¹ × 311¹

Step-2: Prime Factorization of 46345

Prime factors of 46345 are 5, 13, 23, 31. Prime factorization of 46345 in exponential form is:

46345 = 5¹ × 13¹ × 23¹ × 31¹

Step-3: Factors of 46339

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

1, 149, 311

Step-4: Factors of 46345

List of positive integer factors of 46345 that divides 46339 without a remainder.

1, 5, 13, 23, 31, 65, 115, 155, 299, 403, 713, 1495, 2015, 3565, 9269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46339 and 46345. The biggest common factor number is the GCF number.
So the greatest common factor 46339 and 46345 is 1.

Also check out the Least Common Multiple of 46339 and 46345