What is the Greatest Common Factor of 39872 and 39879?

Greatest common factor (GCF) of 39872 and 39879 is 7.

GCF(39872,39879) = 7

We will now calculate the prime factors of 39872 and 39879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39879.

How to find the GCF of 39872 and 39879?

We will first find the prime factorization of 39872 and 39879. After we will calculate the factors of 39872 and 39879 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 39879

Prime factors of 39879 are 3, 7, 211. Prime factorization of 39879 in exponential form is:

39879 = 3³ × 7¹ × 211¹

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 39879

List of positive integer factors of 39879 that divides 39872 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 211, 633, 1477, 1899, 4431, 5697, 13293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39879. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39879 is 7.

Also check out the Least Common Multiple of 39872 and 39879