What is the Greatest Common Factor of 46214 and 46226?

Greatest common factor (GCF) of 46214 and 46226 is 2.

GCF(46214,46226) = 2

We will now calculate the prime factors of 46214 and 46226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46214 and 46226.

How to find the GCF of 46214 and 46226?

We will first find the prime factorization of 46214 and 46226. After we will calculate the factors of 46214 and 46226 and find the biggest common factor number .

Step-1: Prime Factorization of 46214

Prime factors of 46214 are 2, 7, 3301. Prime factorization of 46214 in exponential form is:

46214 = 2¹ × 7¹ × 3301¹

Step-2: Prime Factorization of 46226

Prime factors of 46226 are 2, 29, 797. Prime factorization of 46226 in exponential form is:

46226 = 2¹ × 29¹ × 797¹

Step-3: Factors of 46214

List of positive integer factors of 46214 that divides 46214 without a remainder.

1, 2, 7, 14, 3301, 6602, 23107

Step-4: Factors of 46226

List of positive integer factors of 46226 that divides 46214 without a remainder.

1, 2, 29, 58, 797, 1594, 23113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46214 and 46226. The biggest common factor number is the GCF number.
So the greatest common factor 46214 and 46226 is 2.

Also check out the Least Common Multiple of 46214 and 46226