GCF and LCM Calculator Logo

What is the Greatest Common Factor of 46205 and 46221?

Greatest common factor (GCF) of 46205 and 46221 is 1.

GCF(46205,46221) = 1

We will now calculate the prime factors of 46205 and 46221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46205 and 46221.

GCF Calculator and
and

How to find the GCF of 46205 and 46221?

We will first find the prime factorization of 46205 and 46221. After we will calculate the factors of 46205 and 46221 and find the biggest common factor number .

Step-1: Prime Factorization of 46205

Prime factors of 46205 are 5, 9241. Prime factorization of 46205 in exponential form is:

46205 = 51 × 92411

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 46205

List of positive integer factors of 46205 that divides 46205 without a remainder.

1, 5, 9241

Step-4: Factors of 46221

List of positive integer factors of 46221 that divides 46205 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 46205 and 46221. The biggest common factor number is the GCF number.
So the greatest common factor 46205 and 46221 is 1.

Also check out the Least Common Multiple of 46205 and 46221