What is the Greatest Common Factor of 73378 and 73397?

Greatest common factor (GCF) of 73378 and 73397 is 19.

GCF(73378,73397) = 19

We will now calculate the prime factors of 73378 and 73397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73378 and 73397.

How to find the GCF of 73378 and 73397?

We will first find the prime factorization of 73378 and 73397. After we will calculate the factors of 73378 and 73397 and find the biggest common factor number .

Step-1: Prime Factorization of 73378

Prime factors of 73378 are 2, 19, 1931. Prime factorization of 73378 in exponential form is:

73378 = 2¹ × 19¹ × 1931¹

Step-2: Prime Factorization of 73397

Prime factors of 73397 are 19, 3863. Prime factorization of 73397 in exponential form is:

73397 = 19¹ × 3863¹

Step-3: Factors of 73378

List of positive integer factors of 73378 that divides 73378 without a remainder.

1, 2, 19, 38, 1931, 3862, 36689

Step-4: Factors of 73397

List of positive integer factors of 73397 that divides 73378 without a remainder.

1, 19, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73378 and 73397. The biggest common factor number is the GCF number.
So the greatest common factor 73378 and 73397 is 19.

Also check out the Least Common Multiple of 73378 and 73397