What is the Greatest Common Factor of 89321 and 89338?

Greatest common factor (GCF) of 89321 and 89338 is 1.

GCF(89321,89338) = 1

We will now calculate the prime factors of 89321 and 89338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89321 and 89338.

How to find the GCF of 89321 and 89338?

We will first find the prime factorization of 89321 and 89338. After we will calculate the factors of 89321 and 89338 and find the biggest common factor number .

Step-1: Prime Factorization of 89321

Prime factors of 89321 are 179, 499. Prime factorization of 89321 in exponential form is:

89321 = 179¹ × 499¹

Step-2: Prime Factorization of 89338

Prime factors of 89338 are 2, 19, 2351. Prime factorization of 89338 in exponential form is:

89338 = 2¹ × 19¹ × 2351¹

Step-3: Factors of 89321

List of positive integer factors of 89321 that divides 89321 without a remainder.

1, 179, 499

Step-4: Factors of 89338

List of positive integer factors of 89338 that divides 89321 without a remainder.

1, 2, 19, 38, 2351, 4702, 44669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89321 and 89338. The biggest common factor number is the GCF number.
So the greatest common factor 89321 and 89338 is 1.

Also check out the Least Common Multiple of 89321 and 89338