What is the Greatest Common Factor of 46207 and 46221?

Greatest common factor (GCF) of 46207 and 46221 is 7.

GCF(46207,46221) = 7

We will now calculate the prime factors of 46207 and 46221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46207 and 46221.

How to find the GCF of 46207 and 46221?

We will first find the prime factorization of 46207 and 46221. After we will calculate the factors of 46207 and 46221 and find the biggest common factor number .

Step-1: Prime Factorization of 46207

Prime factors of 46207 are 7, 23, 41. Prime factorization of 46207 in exponential form is:

46207 = 7² × 23¹ × 41¹

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 46207

List of positive integer factors of 46207 that divides 46207 without a remainder.

1, 7, 23, 41, 49, 161, 287, 943, 1127, 2009, 6601

Step-4: Factors of 46221

List of positive integer factors of 46221 that divides 46207 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 46207 and 46221. The biggest common factor number is the GCF number.
So the greatest common factor 46207 and 46221 is 7.

Also check out the Least Common Multiple of 46207 and 46221