What is the Greatest Common Factor of 46488 and 46494?

Greatest common factor (GCF) of 46488 and 46494 is 6.

GCF(46488,46494) = 6

We will now calculate the prime factors of 46488 and 46494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46488 and 46494.

How to find the GCF of 46488 and 46494?

We will first find the prime factorization of 46488 and 46494. After we will calculate the factors of 46488 and 46494 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46494

Prime factors of 46494 are 2, 3, 7, 41. Prime factorization of 46494 in exponential form is:

46494 = 2¹ × 3⁴ × 7¹ × 41¹

Step-3: Factors of 46488

List of positive integer factors of 46488 that divides 46488 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

Step-4: Factors of 46494

List of positive integer factors of 46494 that divides 46488 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 41, 42, 54, 63, 81, 82, 123, 126, 162, 189, 246, 287, 369, 378, 567, 574, 738, 861, 1107, 1134, 1722, 2214, 2583, 3321, 5166, 6642, 7749, 15498, 23247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46488 and 46494. The biggest common factor number is the GCF number.
So the greatest common factor 46488 and 46494 is 6.

Also check out the Least Common Multiple of 46488 and 46494