What is the Greatest Common Factor of 46217 and 46221?

Greatest common factor (GCF) of 46217 and 46221 is 1.

GCF(46217,46221) = 1

We will now calculate the prime factors of 46217 and 46221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46217 and 46221.

How to find the GCF of 46217 and 46221?

We will first find the prime factorization of 46217 and 46221. After we will calculate the factors of 46217 and 46221 and find the biggest common factor number .

Step-1: Prime Factorization of 46217

Prime factors of 46217 are 113, 409. Prime factorization of 46217 in exponential form is:

46217 = 113¹ × 409¹

Step-2: 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-3: Factors of 46217

List of positive integer factors of 46217 that divides 46217 without a remainder.

1, 113, 409

Step-4: Factors of 46221

List of positive integer factors of 46221 that divides 46217 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46217 and 46221. The biggest common factor number is the GCF number.
So the greatest common factor 46217 and 46221 is 1.

Also check out the Least Common Multiple of 46217 and 46221