What is the Greatest Common Factor of 46201 and 46221?

Greatest common factor (GCF) of 46201 and 46221 is 1.

GCF(46201,46221) = 1

We will now calculate the prime factors of 46201 and 46221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46201 and 46221.

How to find the GCF of 46201 and 46221?

We will first find the prime factorization of 46201 and 46221. After we will calculate the factors of 46201 and 46221 and find the biggest common factor number .

Step-1: Prime Factorization of 46201

Prime factors of 46201 are 47, 983. Prime factorization of 46201 in exponential form is:

46201 = 47¹ × 983¹

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 46201

List of positive integer factors of 46201 that divides 46201 without a remainder.

1, 47, 983

Step-4: Factors of 46221

List of positive integer factors of 46221 that divides 46201 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 46201 and 46221. The biggest common factor number is the GCF number.
So the greatest common factor 46201 and 46221 is 1.

Also check out the Least Common Multiple of 46201 and 46221