What is the Greatest Common Factor of 38361 and 38380?

Greatest common factor (GCF) of 38361 and 38380 is 19.

GCF(38361,38380) = 19

We will now calculate the prime factors of 38361 and 38380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38361 and 38380.

How to find the GCF of 38361 and 38380?

We will first find the prime factorization of 38361 and 38380. After we will calculate the factors of 38361 and 38380 and find the biggest common factor number .

Step-1: Prime Factorization of 38361

Prime factors of 38361 are 3, 19, 673. Prime factorization of 38361 in exponential form is:

38361 = 3¹ × 19¹ × 673¹

Step-2: Prime Factorization of 38380

Prime factors of 38380 are 2, 5, 19, 101. Prime factorization of 38380 in exponential form is:

38380 = 2² × 5¹ × 19¹ × 101¹

Step-3: Factors of 38361

List of positive integer factors of 38361 that divides 38361 without a remainder.

1, 3, 19, 57, 673, 2019, 12787

Step-4: Factors of 38380

List of positive integer factors of 38380 that divides 38361 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 101, 190, 202, 380, 404, 505, 1010, 1919, 2020, 3838, 7676, 9595, 19190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38361 and 38380. The biggest common factor number is the GCF number.
So the greatest common factor 38361 and 38380 is 19.

Also check out the Least Common Multiple of 38361 and 38380