What is the Greatest Common Factor of 73324 and 73338?

Greatest common factor (GCF) of 73324 and 73338 is 2.

GCF(73324,73338) = 2

We will now calculate the prime factors of 73324 and 73338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73324 and 73338.

How to find the GCF of 73324 and 73338?

We will first find the prime factorization of 73324 and 73338. After we will calculate the factors of 73324 and 73338 and find the biggest common factor number .

Step-1: Prime Factorization of 73324

Prime factors of 73324 are 2, 23, 797. Prime factorization of 73324 in exponential form is:

73324 = 2² × 23¹ × 797¹

Step-2: Prime Factorization of 73338

Prime factors of 73338 are 2, 3, 17, 719. Prime factorization of 73338 in exponential form is:

73338 = 2¹ × 3¹ × 17¹ × 719¹

Step-3: Factors of 73324

List of positive integer factors of 73324 that divides 73324 without a remainder.

1, 2, 4, 23, 46, 92, 797, 1594, 3188, 18331, 36662

Step-4: Factors of 73338

List of positive integer factors of 73338 that divides 73324 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 719, 1438, 2157, 4314, 12223, 24446, 36669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73324 and 73338. The biggest common factor number is the GCF number.
So the greatest common factor 73324 and 73338 is 2.

Also check out the Least Common Multiple of 73324 and 73338