What is the Greatest Common Factor of 46221 and 46230?

Greatest common factor (GCF) of 46221 and 46230 is 3.

GCF(46221,46230) = 3

We will now calculate the prime factors of 46221 and 46230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46221 and 46230.

How to find the GCF of 46221 and 46230?

We will first find the prime factorization of 46221 and 46230. After we will calculate the factors of 46221 and 46230 and find the biggest common factor number .

Step-1: Prime Factorization of 46221

Prime factors of 46221 are 3, 7, 31, 71. Prime factorization of 46221 in exponential form is:

46221 = 3¹ × 7¹ × 31¹ × 71¹

Step-2: Prime Factorization of 46230

Prime factors of 46230 are 2, 3, 5, 23, 67. Prime factorization of 46230 in exponential form is:

46230 = 2¹ × 3¹ × 5¹ × 23¹ × 67¹

Step-3: Factors of 46221

List of positive integer factors of 46221 that divides 46221 without a remainder.

1, 3, 7, 21, 31, 71, 93, 213, 217, 497, 651, 1491, 2201, 6603, 15407

Step-4: Factors of 46230

List of positive integer factors of 46230 that divides 46221 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 67, 69, 115, 134, 138, 201, 230, 335, 345, 402, 670, 690, 1005, 1541, 2010, 3082, 4623, 7705, 9246, 15410, 23115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46221 and 46230. The biggest common factor number is the GCF number.
So the greatest common factor 46221 and 46230 is 3.

Also check out the Least Common Multiple of 46221 and 46230