What is the Greatest Common Factor of 90408 and 90414?

Greatest common factor (GCF) of 90408 and 90414 is 6.

GCF(90408,90414) = 6

We will now calculate the prime factors of 90408 and 90414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90408 and 90414.

How to find the GCF of 90408 and 90414?

We will first find the prime factorization of 90408 and 90414. After we will calculate the factors of 90408 and 90414 and find the biggest common factor number .

Step-1: Prime Factorization of 90408

Prime factors of 90408 are 2, 3, 3767. Prime factorization of 90408 in exponential form is:

90408 = 2³ × 3¹ × 3767¹

Step-2: Prime Factorization of 90414

Prime factors of 90414 are 2, 3, 5023. Prime factorization of 90414 in exponential form is:

90414 = 2¹ × 3² × 5023¹

Step-3: Factors of 90408

List of positive integer factors of 90408 that divides 90408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3767, 7534, 11301, 15068, 22602, 30136, 45204

Step-4: Factors of 90414

List of positive integer factors of 90414 that divides 90408 without a remainder.

1, 2, 3, 6, 9, 18, 5023, 10046, 15069, 30138, 45207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90408 and 90414. The biggest common factor number is the GCF number.
So the greatest common factor 90408 and 90414 is 6.

Also check out the Least Common Multiple of 90408 and 90414