What is the Greatest Common Factor of 39872 and 39886?

Greatest common factor (GCF) of 39872 and 39886 is 14.

GCF(39872,39886) = 14

We will now calculate the prime factors of 39872 and 39886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39886.

How to find the GCF of 39872 and 39886?

We will first find the prime factorization of 39872 and 39886. After we will calculate the factors of 39872 and 39886 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 39886

Prime factors of 39886 are 2, 7, 11, 37. Prime factorization of 39886 in exponential form is:

39886 = 2¹ × 7² × 11¹ × 37¹

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 39886

List of positive integer factors of 39886 that divides 39872 without a remainder.

1, 2, 7, 11, 14, 22, 37, 49, 74, 77, 98, 154, 259, 407, 518, 539, 814, 1078, 1813, 2849, 3626, 5698, 19943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39886. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39886 is 14.

Also check out the Least Common Multiple of 39872 and 39886