What is the Greatest Common Factor of 46475 and 46488?

Greatest common factor (GCF) of 46475 and 46488 is 13.

GCF(46475,46488) = 13

We will now calculate the prime factors of 46475 and 46488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46475 and 46488.

How to find the GCF of 46475 and 46488?

We will first find the prime factorization of 46475 and 46488. After we will calculate the factors of 46475 and 46488 and find the biggest common factor number .

Step-1: Prime Factorization of 46475

Prime factors of 46475 are 5, 11, 13. Prime factorization of 46475 in exponential form is:

46475 = 5² × 11¹ × 13²

Step-2: Prime Factorization of 46488

Prime factors of 46488 are 2, 3, 13, 149. Prime factorization of 46488 in exponential form is:

46488 = 2³ × 3¹ × 13¹ × 149¹

Step-3: Factors of 46475

List of positive integer factors of 46475 that divides 46475 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 169, 275, 325, 715, 845, 1859, 3575, 4225, 9295

Step-4: Factors of 46488

List of positive integer factors of 46488 that divides 46475 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 149, 156, 298, 312, 447, 596, 894, 1192, 1788, 1937, 3576, 3874, 5811, 7748, 11622, 15496, 23244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46475 and 46488. The biggest common factor number is the GCF number.
So the greatest common factor 46475 and 46488 is 13.

Also check out the Least Common Multiple of 46475 and 46488