What is the Greatest Common Factor of 46455 and 46474?

Greatest common factor (GCF) of 46455 and 46474 is 19.

GCF(46455,46474) = 19

We will now calculate the prime factors of 46455 and 46474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46455 and 46474.

How to find the GCF of 46455 and 46474?

We will first find the prime factorization of 46455 and 46474. After we will calculate the factors of 46455 and 46474 and find the biggest common factor number .

Step-1: Prime Factorization of 46455

Prime factors of 46455 are 3, 5, 19, 163. Prime factorization of 46455 in exponential form is:

46455 = 3¹ × 5¹ × 19¹ × 163¹

Step-2: Prime Factorization of 46474

Prime factors of 46474 are 2, 19, 1223. Prime factorization of 46474 in exponential form is:

46474 = 2¹ × 19¹ × 1223¹

Step-3: Factors of 46455

List of positive integer factors of 46455 that divides 46455 without a remainder.

1, 3, 5, 15, 19, 57, 95, 163, 285, 489, 815, 2445, 3097, 9291, 15485

Step-4: Factors of 46474

List of positive integer factors of 46474 that divides 46455 without a remainder.

1, 2, 19, 38, 1223, 2446, 23237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46455 and 46474. The biggest common factor number is the GCF number.
So the greatest common factor 46455 and 46474 is 19.

Also check out the Least Common Multiple of 46455 and 46474