What is the Greatest Common Factor of 59840 and 59851?

Greatest common factor (GCF) of 59840 and 59851 is 11.

GCF(59840,59851) = 11

We will now calculate the prime factors of 59840 and 59851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59840 and 59851.

How to find the GCF of 59840 and 59851?

We will first find the prime factorization of 59840 and 59851. After we will calculate the factors of 59840 and 59851 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 59851

Prime factors of 59851 are 11, 5441. Prime factorization of 59851 in exponential form is:

59851 = 11¹ × 5441¹

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 59851

List of positive integer factors of 59851 that divides 59840 without a remainder.

1, 11, 5441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59840 and 59851. The biggest common factor number is the GCF number.
So the greatest common factor 59840 and 59851 is 11.

Also check out the Least Common Multiple of 59840 and 59851