What is the Greatest Common Factor of 89338 and 89357?

Greatest common factor (GCF) of 89338 and 89357 is 19.

GCF(89338,89357) = 19

We will now calculate the prime factors of 89338 and 89357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89338 and 89357.

How to find the GCF of 89338 and 89357?

We will first find the prime factorization of 89338 and 89357. After we will calculate the factors of 89338 and 89357 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89357

Prime factors of 89357 are 19, 4703. Prime factorization of 89357 in exponential form is:

89357 = 19¹ × 4703¹

Step-3: Factors of 89338

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

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

Step-4: Factors of 89357

List of positive integer factors of 89357 that divides 89338 without a remainder.

1, 19, 4703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89338 and 89357. The biggest common factor number is the GCF number.
So the greatest common factor 89338 and 89357 is 19.

Also check out the Least Common Multiple of 89338 and 89357