What is the Greatest Common Factor of 38865 and 38877?

Greatest common factor (GCF) of 38865 and 38877 is 3.

GCF(38865,38877) = 3

We will now calculate the prime factors of 38865 and 38877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38865 and 38877.

How to find the GCF of 38865 and 38877?

We will first find the prime factorization of 38865 and 38877. After we will calculate the factors of 38865 and 38877 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38877

Prime factors of 38877 are 3, 12959. Prime factorization of 38877 in exponential form is:

38877 = 3¹ × 12959¹

Step-3: Factors of 38865

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

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

Step-4: Factors of 38877

List of positive integer factors of 38877 that divides 38865 without a remainder.

1, 3, 12959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38865 and 38877. The biggest common factor number is the GCF number.
So the greatest common factor 38865 and 38877 is 3.

Also check out the Least Common Multiple of 38865 and 38877