What is the Greatest Common Factor of 89421 and 89438?

Greatest common factor (GCF) of 89421 and 89438 is 1.

GCF(89421,89438) = 1

We will now calculate the prime factors of 89421 and 89438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89421 and 89438.

How to find the GCF of 89421 and 89438?

We will first find the prime factorization of 89421 and 89438. After we will calculate the factors of 89421 and 89438 and find the biggest common factor number .

Step-1: Prime Factorization of 89421

Prime factors of 89421 are 3, 41, 727. Prime factorization of 89421 in exponential form is:

89421 = 3¹ × 41¹ × 727¹

Step-2: Prime Factorization of 89438

Prime factors of 89438 are 2, 197, 227. Prime factorization of 89438 in exponential form is:

89438 = 2¹ × 197¹ × 227¹

Step-3: Factors of 89421

List of positive integer factors of 89421 that divides 89421 without a remainder.

1, 3, 41, 123, 727, 2181, 29807

Step-4: Factors of 89438

List of positive integer factors of 89438 that divides 89421 without a remainder.

1, 2, 197, 227, 394, 454, 44719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89421 and 89438. The biggest common factor number is the GCF number.
So the greatest common factor 89421 and 89438 is 1.

Also check out the Least Common Multiple of 89421 and 89438