What is the Greatest Common Factor of 38870 and 38888?

Greatest common factor (GCF) of 38870 and 38888 is 2.

GCF(38870,38888) = 2

We will now calculate the prime factors of 38870 and 38888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38870 and 38888.

How to find the GCF of 38870 and 38888?

We will first find the prime factorization of 38870 and 38888. After we will calculate the factors of 38870 and 38888 and find the biggest common factor number .

Step-1: Prime Factorization of 38870

Prime factors of 38870 are 2, 5, 13, 23. Prime factorization of 38870 in exponential form is:

38870 = 2¹ × 5¹ × 13² × 23¹

Step-2: Prime Factorization of 38888

Prime factors of 38888 are 2, 4861. Prime factorization of 38888 in exponential form is:

38888 = 2³ × 4861¹

Step-3: Factors of 38870

List of positive integer factors of 38870 that divides 38870 without a remainder.

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 169, 230, 299, 338, 598, 845, 1495, 1690, 2990, 3887, 7774, 19435

Step-4: Factors of 38888

List of positive integer factors of 38888 that divides 38870 without a remainder.

1, 2, 4, 8, 4861, 9722, 19444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38870 and 38888. The biggest common factor number is the GCF number.
So the greatest common factor 38870 and 38888 is 2.

Also check out the Least Common Multiple of 38870 and 38888