What is the Greatest Common Factor of 22431 and 22450?

Greatest common factor (GCF) of 22431 and 22450 is 1.

GCF(22431,22450) = 1

We will now calculate the prime factors of 22431 and 22450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22431 and 22450.

How to find the GCF of 22431 and 22450?

We will first find the prime factorization of 22431 and 22450. After we will calculate the factors of 22431 and 22450 and find the biggest common factor number .

Step-1: Prime Factorization of 22431

Prime factors of 22431 are 3, 7477. Prime factorization of 22431 in exponential form is:

22431 = 3¹ × 7477¹

Step-2: Prime Factorization of 22450

Prime factors of 22450 are 2, 5, 449. Prime factorization of 22450 in exponential form is:

22450 = 2¹ × 5² × 449¹

Step-3: Factors of 22431

List of positive integer factors of 22431 that divides 22431 without a remainder.

1, 3, 7477

Step-4: Factors of 22450

List of positive integer factors of 22450 that divides 22431 without a remainder.

1, 2, 5, 10, 25, 50, 449, 898, 2245, 4490, 11225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22431 and 22450. The biggest common factor number is the GCF number.
So the greatest common factor 22431 and 22450 is 1.

Also check out the Least Common Multiple of 22431 and 22450