What is the Greatest Common Factor of 46315 and 46319?

Greatest common factor (GCF) of 46315 and 46319 is 1.

GCF(46315,46319) = 1

We will now calculate the prime factors of 46315 and 46319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46315 and 46319.

How to find the GCF of 46315 and 46319?

We will first find the prime factorization of 46315 and 46319. After we will calculate the factors of 46315 and 46319 and find the biggest common factor number .

Step-1: Prime Factorization of 46315

Prime factors of 46315 are 5, 59, 157. Prime factorization of 46315 in exponential form is:

46315 = 5¹ × 59¹ × 157¹

Step-2: 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-3: Factors of 46315

List of positive integer factors of 46315 that divides 46315 without a remainder.

1, 5, 59, 157, 295, 785, 9263

Step-4: Factors of 46319

List of positive integer factors of 46319 that divides 46315 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46315 and 46319. The biggest common factor number is the GCF number.
So the greatest common factor 46315 and 46319 is 1.

Also check out the Least Common Multiple of 46315 and 46319