What is the Greatest Common Factor of 42872 and 42880?

Greatest common factor (GCF) of 42872 and 42880 is 8.

GCF(42872,42880) = 8

We will now calculate the prime factors of 42872 and 42880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42872 and 42880.

How to find the GCF of 42872 and 42880?

We will first find the prime factorization of 42872 and 42880. After we will calculate the factors of 42872 and 42880 and find the biggest common factor number .

Step-1: Prime Factorization of 42872

Prime factors of 42872 are 2, 23, 233. Prime factorization of 42872 in exponential form is:

42872 = 2³ × 23¹ × 233¹

Step-2: Prime Factorization of 42880

Prime factors of 42880 are 2, 5, 67. Prime factorization of 42880 in exponential form is:

42880 = 2⁷ × 5¹ × 67¹

Step-3: Factors of 42872

List of positive integer factors of 42872 that divides 42872 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 233, 466, 932, 1864, 5359, 10718, 21436

Step-4: Factors of 42880

List of positive integer factors of 42880 that divides 42872 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160, 268, 320, 335, 536, 640, 670, 1072, 1340, 2144, 2680, 4288, 5360, 8576, 10720, 21440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42872 and 42880. The biggest common factor number is the GCF number.
So the greatest common factor 42872 and 42880 is 8.

Also check out the Least Common Multiple of 42872 and 42880