What is the Greatest Common Factor of 39872 and 39887?

Greatest common factor (GCF) of 39872 and 39887 is 1.

GCF(39872,39887) = 1

We will now calculate the prime factors of 39872 and 39887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39887.

How to find the GCF of 39872 and 39887?

We will first find the prime factorization of 39872 and 39887. After we will calculate the factors of 39872 and 39887 and find the biggest common factor number .

Step-1: Prime Factorization of 39872

Prime factors of 39872 are 2, 7, 89. Prime factorization of 39872 in exponential form is:

39872 = 2⁶ × 7¹ × 89¹

Step-2: Prime Factorization of 39887

Prime factors of 39887 are 39887. Prime factorization of 39887 in exponential form is:

39887 = 39887¹

Step-3: Factors of 39872

List of positive integer factors of 39872 that divides 39872 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 178, 224, 356, 448, 623, 712, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 19936

Step-4: Factors of 39887

List of positive integer factors of 39887 that divides 39872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39887. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39887 is 1.

Also check out the Least Common Multiple of 39872 and 39887