What is the Greatest Common Factor of 42864 and 42880?

Greatest common factor (GCF) of 42864 and 42880 is 16.

GCF(42864,42880) = 16

We will now calculate the prime factors of 42864 and 42880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42864 and 42880.

How to find the GCF of 42864 and 42880?

We will first find the prime factorization of 42864 and 42880. After we will calculate the factors of 42864 and 42880 and find the biggest common factor number .

Step-1: Prime Factorization of 42864

Prime factors of 42864 are 2, 3, 19, 47. Prime factorization of 42864 in exponential form is:

42864 = 2⁴ × 3¹ × 19¹ × 47¹

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 42864

List of positive integer factors of 42864 that divides 42864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 47, 48, 57, 76, 94, 114, 141, 152, 188, 228, 282, 304, 376, 456, 564, 752, 893, 912, 1128, 1786, 2256, 2679, 3572, 5358, 7144, 10716, 14288, 21432

Step-4: Factors of 42880

List of positive integer factors of 42880 that divides 42864 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 42864 and 42880. The biggest common factor number is the GCF number.
So the greatest common factor 42864 and 42880 is 16.

Also check out the Least Common Multiple of 42864 and 42880