What is the Greatest Common Factor of 46365 and 46376?

Greatest common factor (GCF) of 46365 and 46376 is 11.

GCF(46365,46376) = 11

We will now calculate the prime factors of 46365 and 46376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46365 and 46376.

How to find the GCF of 46365 and 46376?

We will first find the prime factorization of 46365 and 46376. After we will calculate the factors of 46365 and 46376 and find the biggest common factor number .

Step-1: Prime Factorization of 46365

Prime factors of 46365 are 3, 5, 11, 281. Prime factorization of 46365 in exponential form is:

46365 = 3¹ × 5¹ × 11¹ × 281¹

Step-2: Prime Factorization of 46376

Prime factors of 46376 are 2, 11, 17, 31. Prime factorization of 46376 in exponential form is:

46376 = 2³ × 11¹ × 17¹ × 31¹

Step-3: Factors of 46365

List of positive integer factors of 46365 that divides 46365 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 281, 843, 1405, 3091, 4215, 9273, 15455

Step-4: Factors of 46376

List of positive integer factors of 46376 that divides 46365 without a remainder.

1, 2, 4, 8, 11, 17, 22, 31, 34, 44, 62, 68, 88, 124, 136, 187, 248, 341, 374, 527, 682, 748, 1054, 1364, 1496, 2108, 2728, 4216, 5797, 11594, 23188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46365 and 46376. The biggest common factor number is the GCF number.
So the greatest common factor 46365 and 46376 is 11.

Also check out the Least Common Multiple of 46365 and 46376