What is the Greatest Common Factor of 59840 and 59856?

Greatest common factor (GCF) of 59840 and 59856 is 16.

GCF(59840,59856) = 16

We will now calculate the prime factors of 59840 and 59856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59840 and 59856.

How to find the GCF of 59840 and 59856?

We will first find the prime factorization of 59840 and 59856. After we will calculate the factors of 59840 and 59856 and find the biggest common factor number .

Step-1: Prime Factorization of 59840

Prime factors of 59840 are 2, 5, 11, 17. Prime factorization of 59840 in exponential form is:

59840 = 2⁶ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 59856

Prime factors of 59856 are 2, 3, 29, 43. Prime factorization of 59856 in exponential form is:

59856 = 2⁴ × 3¹ × 29¹ × 43¹

Step-3: Factors of 59840

List of positive integer factors of 59840 that divides 59840 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 32, 34, 40, 44, 55, 64, 68, 80, 85, 88, 110, 136, 160, 170, 176, 187, 220, 272, 320, 340, 352, 374, 440, 544, 680, 704, 748, 880, 935, 1088, 1360, 1496, 1760, 1870, 2720, 2992, 3520, 3740, 5440, 5984, 7480, 11968, 14960, 29920

Step-4: Factors of 59856

List of positive integer factors of 59856 that divides 59840 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 43, 48, 58, 86, 87, 116, 129, 172, 174, 232, 258, 344, 348, 464, 516, 688, 696, 1032, 1247, 1392, 2064, 2494, 3741, 4988, 7482, 9976, 14964, 19952, 29928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59840 and 59856. The biggest common factor number is the GCF number.
So the greatest common factor 59840 and 59856 is 16.

Also check out the Least Common Multiple of 59840 and 59856