What is the Greatest Common Factor of 46317 and 46335?

Greatest common factor (GCF) of 46317 and 46335 is 3.

GCF(46317,46335) = 3

We will now calculate the prime factors of 46317 and 46335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46317 and 46335.

How to find the GCF of 46317 and 46335?

We will first find the prime factorization of 46317 and 46335. After we will calculate the factors of 46317 and 46335 and find the biggest common factor number .

Step-1: Prime Factorization of 46317

Prime factors of 46317 are 3, 15439. Prime factorization of 46317 in exponential form is:

46317 = 3¹ × 15439¹

Step-2: Prime Factorization of 46335

Prime factors of 46335 are 3, 5, 3089. Prime factorization of 46335 in exponential form is:

46335 = 3¹ × 5¹ × 3089¹

Step-3: Factors of 46317

List of positive integer factors of 46317 that divides 46317 without a remainder.

1, 3, 15439

Step-4: Factors of 46335

List of positive integer factors of 46335 that divides 46317 without a remainder.

1, 3, 5, 15, 3089, 9267, 15445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46317 and 46335. The biggest common factor number is the GCF number.
So the greatest common factor 46317 and 46335 is 3.

Also check out the Least Common Multiple of 46317 and 46335