What is the Greatest Common Factor of 89324 and 89338?

Greatest common factor (GCF) of 89324 and 89338 is 2.

GCF(89324,89338) = 2

We will now calculate the prime factors of 89324 and 89338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89324 and 89338.

How to find the GCF of 89324 and 89338?

We will first find the prime factorization of 89324 and 89338. After we will calculate the factors of 89324 and 89338 and find the biggest common factor number .

Step-1: Prime Factorization of 89324

Prime factors of 89324 are 2, 137, 163. Prime factorization of 89324 in exponential form is:

89324 = 2² × 137¹ × 163¹

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 89324

List of positive integer factors of 89324 that divides 89324 without a remainder.

1, 2, 4, 137, 163, 274, 326, 548, 652, 22331, 44662

Step-4: Factors of 89338

List of positive integer factors of 89338 that divides 89324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89324 and 89338. The biggest common factor number is the GCF number.
So the greatest common factor 89324 and 89338 is 2.

Also check out the Least Common Multiple of 89324 and 89338