What is the Greatest Common Factor of 90414 and 90429?

Greatest common factor (GCF) of 90414 and 90429 is 3.

GCF(90414,90429) = 3

We will now calculate the prime factors of 90414 and 90429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90414 and 90429.

How to find the GCF of 90414 and 90429?

We will first find the prime factorization of 90414 and 90429. After we will calculate the factors of 90414 and 90429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90429

Prime factors of 90429 are 3, 43, 701. Prime factorization of 90429 in exponential form is:

90429 = 3¹ × 43¹ × 701¹

Step-3: Factors of 90414

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

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

Step-4: Factors of 90429

List of positive integer factors of 90429 that divides 90414 without a remainder.

1, 3, 43, 129, 701, 2103, 30143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90414 and 90429. The biggest common factor number is the GCF number.
So the greatest common factor 90414 and 90429 is 3.

Also check out the Least Common Multiple of 90414 and 90429