What is the Greatest Common Factor of 46461 and 46478?

Greatest common factor (GCF) of 46461 and 46478 is 17.

GCF(46461,46478) = 17

We will now calculate the prime factors of 46461 and 46478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46461 and 46478.

How to find the GCF of 46461 and 46478?

We will first find the prime factorization of 46461 and 46478. After we will calculate the factors of 46461 and 46478 and find the biggest common factor number .

Step-1: Prime Factorization of 46461

Prime factors of 46461 are 3, 17, 911. Prime factorization of 46461 in exponential form is:

46461 = 3¹ × 17¹ × 911¹

Step-2: Prime Factorization of 46478

Prime factors of 46478 are 2, 17, 1367. Prime factorization of 46478 in exponential form is:

46478 = 2¹ × 17¹ × 1367¹

Step-3: Factors of 46461

List of positive integer factors of 46461 that divides 46461 without a remainder.

1, 3, 17, 51, 911, 2733, 15487

Step-4: Factors of 46478

List of positive integer factors of 46478 that divides 46461 without a remainder.

1, 2, 17, 34, 1367, 2734, 23239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46461 and 46478. The biggest common factor number is the GCF number.
So the greatest common factor 46461 and 46478 is 17.

Also check out the Least Common Multiple of 46461 and 46478