What is the Greatest Common Factor of 46455 and 46467?

Greatest common factor (GCF) of 46455 and 46467 is 3.

GCF(46455,46467) = 3

We will now calculate the prime factors of 46455 and 46467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46455 and 46467.

How to find the GCF of 46455 and 46467?

We will first find the prime factorization of 46455 and 46467. After we will calculate the factors of 46455 and 46467 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 46467

Prime factors of 46467 are 3, 1721. Prime factorization of 46467 in exponential form is:

46467 = 3³ × 1721¹

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 46467

List of positive integer factors of 46467 that divides 46455 without a remainder.

1, 3, 9, 27, 1721, 5163, 15489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46455 and 46467. The biggest common factor number is the GCF number.
So the greatest common factor 46455 and 46467 is 3.

Also check out the Least Common Multiple of 46455 and 46467