What is the Greatest Common Factor of 38985 and 39001?

Greatest common factor (GCF) of 38985 and 39001 is 1.

GCF(38985,39001) = 1

We will now calculate the prime factors of 38985 and 39001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38985 and 39001.

How to find the GCF of 38985 and 39001?

We will first find the prime factorization of 38985 and 39001. After we will calculate the factors of 38985 and 39001 and find the biggest common factor number .

Step-1: Prime Factorization of 38985

Prime factors of 38985 are 3, 5, 23, 113. Prime factorization of 38985 in exponential form is:

38985 = 3¹ × 5¹ × 23¹ × 113¹

Step-2: Prime Factorization of 39001

Prime factors of 39001 are 43, 907. Prime factorization of 39001 in exponential form is:

39001 = 43¹ × 907¹

Step-3: Factors of 38985

List of positive integer factors of 38985 that divides 38985 without a remainder.

1, 3, 5, 15, 23, 69, 113, 115, 339, 345, 565, 1695, 2599, 7797, 12995

Step-4: Factors of 39001

List of positive integer factors of 39001 that divides 38985 without a remainder.

1, 43, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38985 and 39001. The biggest common factor number is the GCF number.
So the greatest common factor 38985 and 39001 is 1.

Also check out the Least Common Multiple of 38985 and 39001