What is the Greatest Common Factor of 38854 and 38865?

Greatest common factor (GCF) of 38854 and 38865 is 1.

GCF(38854,38865) = 1

We will now calculate the prime factors of 38854 and 38865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38854 and 38865.

How to find the GCF of 38854 and 38865?

We will first find the prime factorization of 38854 and 38865. After we will calculate the factors of 38854 and 38865 and find the biggest common factor number .

Step-1: Prime Factorization of 38854

Prime factors of 38854 are 2, 19427. Prime factorization of 38854 in exponential form is:

38854 = 2¹ × 19427¹

Step-2: Prime Factorization of 38865

Prime factors of 38865 are 3, 5, 2591. Prime factorization of 38865 in exponential form is:

38865 = 3¹ × 5¹ × 2591¹

Step-3: Factors of 38854

List of positive integer factors of 38854 that divides 38854 without a remainder.

1, 2, 19427

Step-4: Factors of 38865

List of positive integer factors of 38865 that divides 38854 without a remainder.

1, 3, 5, 15, 2591, 7773, 12955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38854 and 38865. The biggest common factor number is the GCF number.
So the greatest common factor 38854 and 38865 is 1.

Also check out the Least Common Multiple of 38854 and 38865