What is the Greatest Common Factor of 46293 and 46299?

Greatest common factor (GCF) of 46293 and 46299 is 3.

GCF(46293,46299) = 3

We will now calculate the prime factors of 46293 and 46299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46293 and 46299.

How to find the GCF of 46293 and 46299?

We will first find the prime factorization of 46293 and 46299. After we will calculate the factors of 46293 and 46299 and find the biggest common factor number .

Step-1: Prime Factorization of 46293

Prime factors of 46293 are 3, 13, 1187. Prime factorization of 46293 in exponential form is:

46293 = 3¹ × 13¹ × 1187¹

Step-2: Prime Factorization of 46299

Prime factors of 46299 are 3, 11, 23, 61. Prime factorization of 46299 in exponential form is:

46299 = 3¹ × 11¹ × 23¹ × 61¹

Step-3: Factors of 46293

List of positive integer factors of 46293 that divides 46293 without a remainder.

1, 3, 13, 39, 1187, 3561, 15431

Step-4: Factors of 46299

List of positive integer factors of 46299 that divides 46293 without a remainder.

1, 3, 11, 23, 33, 61, 69, 183, 253, 671, 759, 1403, 2013, 4209, 15433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46293 and 46299. The biggest common factor number is the GCF number.
So the greatest common factor 46293 and 46299 is 3.

Also check out the Least Common Multiple of 46293 and 46299