What is the Greatest Common Factor of 46221 and 46235?

Greatest common factor (GCF) of 46221 and 46235 is 7.

GCF(46221,46235) = 7

We will now calculate the prime factors of 46221 and 46235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46221 and 46235.

How to find the GCF of 46221 and 46235?

We will first find the prime factorization of 46221 and 46235. After we will calculate the factors of 46221 and 46235 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 46235

Prime factors of 46235 are 5, 7, 1321. Prime factorization of 46235 in exponential form is:

46235 = 5¹ × 7¹ × 1321¹

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 46235

List of positive integer factors of 46235 that divides 46221 without a remainder.

1, 5, 7, 35, 1321, 6605, 9247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46221 and 46235. The biggest common factor number is the GCF number.
So the greatest common factor 46221 and 46235 is 7.

Also check out the Least Common Multiple of 46221 and 46235