What is the Greatest Common Factor of 46319 and 46331?

Greatest common factor (GCF) of 46319 and 46331 is 1.

GCF(46319,46331) = 1

We will now calculate the prime factors of 46319 and 46331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46319 and 46331.

How to find the GCF of 46319 and 46331?

We will first find the prime factorization of 46319 and 46331. After we will calculate the factors of 46319 and 46331 and find the biggest common factor number .

Step-1: Prime Factorization of 46319

Prime factors of 46319 are 7, 13, 509. Prime factorization of 46319 in exponential form is:

46319 = 7¹ × 13¹ × 509¹

Step-2: Prime Factorization of 46331

Prime factors of 46331 are 107, 433. Prime factorization of 46331 in exponential form is:

46331 = 107¹ × 433¹

Step-3: Factors of 46319

List of positive integer factors of 46319 that divides 46319 without a remainder.

1, 7, 13, 91, 509, 3563, 6617

Step-4: Factors of 46331

List of positive integer factors of 46331 that divides 46319 without a remainder.

1, 107, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46319 and 46331. The biggest common factor number is the GCF number.
So the greatest common factor 46319 and 46331 is 1.

Also check out the Least Common Multiple of 46319 and 46331