What is the Greatest Common Factor of 90429 and 90449?

Greatest common factor (GCF) of 90429 and 90449 is 1.

GCF(90429,90449) = 1

We will now calculate the prime factors of 90429 and 90449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90429 and 90449.

How to find the GCF of 90429 and 90449?

We will first find the prime factorization of 90429 and 90449. After we will calculate the factors of 90429 and 90449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90449

Prime factors of 90449 are 151, 599. Prime factorization of 90449 in exponential form is:

90449 = 151¹ × 599¹

Step-3: Factors of 90429

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

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

Step-4: Factors of 90449

List of positive integer factors of 90449 that divides 90429 without a remainder.

1, 151, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90429 and 90449. The biggest common factor number is the GCF number.
So the greatest common factor 90429 and 90449 is 1.

Also check out the Least Common Multiple of 90429 and 90449