What is the Greatest Common Factor of 59823 and 59840?

Greatest common factor (GCF) of 59823 and 59840 is 17.

GCF(59823,59840) = 17

We will now calculate the prime factors of 59823 and 59840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59823 and 59840.

How to find the GCF of 59823 and 59840?

We will first find the prime factorization of 59823 and 59840. After we will calculate the factors of 59823 and 59840 and find the biggest common factor number .

Step-1: Prime Factorization of 59823

Prime factors of 59823 are 3, 17, 23. Prime factorization of 59823 in exponential form is:

59823 = 3² × 17² × 23¹

Step-2: 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-3: Factors of 59823

List of positive integer factors of 59823 that divides 59823 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 289, 391, 867, 1173, 2601, 3519, 6647, 19941

Step-4: Factors of 59840

List of positive integer factors of 59840 that divides 59823 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59823 and 59840. The biggest common factor number is the GCF number.
So the greatest common factor 59823 and 59840 is 17.

Also check out the Least Common Multiple of 59823 and 59840