What is the Greatest Common Factor of 46226 and 46234?

Greatest common factor (GCF) of 46226 and 46234 is 2.

GCF(46226,46234) = 2

We will now calculate the prime factors of 46226 and 46234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46226 and 46234.

How to find the GCF of 46226 and 46234?

We will first find the prime factorization of 46226 and 46234. After we will calculate the factors of 46226 and 46234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46234

Prime factors of 46234 are 2, 23117. Prime factorization of 46234 in exponential form is:

46234 = 2¹ × 23117¹

Step-3: Factors of 46226

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

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

Step-4: Factors of 46234

List of positive integer factors of 46234 that divides 46226 without a remainder.

1, 2, 23117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46226 and 46234. The biggest common factor number is the GCF number.
So the greatest common factor 46226 and 46234 is 2.

Also check out the Least Common Multiple of 46226 and 46234