What is the Greatest Common Factor of 38872 and 38887?

Greatest common factor (GCF) of 38872 and 38887 is 1.

GCF(38872,38887) = 1

We will now calculate the prime factors of 38872 and 38887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38872 and 38887.

How to find the GCF of 38872 and 38887?

We will first find the prime factorization of 38872 and 38887. After we will calculate the factors of 38872 and 38887 and find the biggest common factor number .

Step-1: Prime Factorization of 38872

Prime factors of 38872 are 2, 43, 113. Prime factorization of 38872 in exponential form is:

38872 = 2³ × 43¹ × 113¹

Step-2: Prime Factorization of 38887

Prime factors of 38887 are 37, 1051. Prime factorization of 38887 in exponential form is:

38887 = 37¹ × 1051¹

Step-3: Factors of 38872

List of positive integer factors of 38872 that divides 38872 without a remainder.

1, 2, 4, 8, 43, 86, 113, 172, 226, 344, 452, 904, 4859, 9718, 19436

Step-4: Factors of 38887

List of positive integer factors of 38887 that divides 38872 without a remainder.

1, 37, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38872 and 38887. The biggest common factor number is the GCF number.
So the greatest common factor 38872 and 38887 is 1.

Also check out the Least Common Multiple of 38872 and 38887