What is the Greatest Common Factor of 46404 and 46414?

Greatest common factor (GCF) of 46404 and 46414 is 2.

GCF(46404,46414) = 2

We will now calculate the prime factors of 46404 and 46414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46404 and 46414.

How to find the GCF of 46404 and 46414?

We will first find the prime factorization of 46404 and 46414. After we will calculate the factors of 46404 and 46414 and find the biggest common factor number .

Step-1: Prime Factorization of 46404

Prime factors of 46404 are 2, 3, 1289. Prime factorization of 46404 in exponential form is:

46404 = 2² × 3² × 1289¹

Step-2: Prime Factorization of 46414

Prime factors of 46414 are 2, 23, 1009. Prime factorization of 46414 in exponential form is:

46414 = 2¹ × 23¹ × 1009¹

Step-3: Factors of 46404

List of positive integer factors of 46404 that divides 46404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1289, 2578, 3867, 5156, 7734, 11601, 15468, 23202

Step-4: Factors of 46414

List of positive integer factors of 46414 that divides 46404 without a remainder.

1, 2, 23, 46, 1009, 2018, 23207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46404 and 46414. The biggest common factor number is the GCF number.
So the greatest common factor 46404 and 46414 is 2.

Also check out the Least Common Multiple of 46404 and 46414