What is the Greatest Common Factor of 38645 and 38660?

Greatest common factor (GCF) of 38645 and 38660 is 5.

GCF(38645,38660) = 5

We will now calculate the prime factors of 38645 and 38660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38645 and 38660.

How to find the GCF of 38645 and 38660?

We will first find the prime factorization of 38645 and 38660. After we will calculate the factors of 38645 and 38660 and find the biggest common factor number .

Step-1: Prime Factorization of 38645

Prime factors of 38645 are 5, 59, 131. Prime factorization of 38645 in exponential form is:

38645 = 5¹ × 59¹ × 131¹

Step-2: Prime Factorization of 38660

Prime factors of 38660 are 2, 5, 1933. Prime factorization of 38660 in exponential form is:

38660 = 2² × 5¹ × 1933¹

Step-3: Factors of 38645

List of positive integer factors of 38645 that divides 38645 without a remainder.

1, 5, 59, 131, 295, 655, 7729

Step-4: Factors of 38660

List of positive integer factors of 38660 that divides 38645 without a remainder.

1, 2, 4, 5, 10, 20, 1933, 3866, 7732, 9665, 19330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38645 and 38660. The biggest common factor number is the GCF number.
So the greatest common factor 38645 and 38660 is 5.

Also check out the Least Common Multiple of 38645 and 38660