What is the Greatest Common Factor of 49368 and 49385?

Greatest common factor (GCF) of 49368 and 49385 is 17.

GCF(49368,49385) = 17

We will now calculate the prime factors of 49368 and 49385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49368 and 49385.

How to find the GCF of 49368 and 49385?

We will first find the prime factorization of 49368 and 49385. After we will calculate the factors of 49368 and 49385 and find the biggest common factor number .

Step-1: Prime Factorization of 49368

Prime factors of 49368 are 2, 3, 11, 17. Prime factorization of 49368 in exponential form is:

49368 = 2³ × 3¹ × 11² × 17¹

Step-2: Prime Factorization of 49385

Prime factors of 49385 are 5, 7, 17, 83. Prime factorization of 49385 in exponential form is:

49385 = 5¹ × 7¹ × 17¹ × 83¹

Step-3: Factors of 49368

List of positive integer factors of 49368 that divides 49368 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 121, 132, 136, 187, 204, 242, 264, 363, 374, 408, 484, 561, 726, 748, 968, 1122, 1452, 1496, 2057, 2244, 2904, 4114, 4488, 6171, 8228, 12342, 16456, 24684

Step-4: Factors of 49385

List of positive integer factors of 49385 that divides 49368 without a remainder.

1, 5, 7, 17, 35, 83, 85, 119, 415, 581, 595, 1411, 2905, 7055, 9877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49368 and 49385. The biggest common factor number is the GCF number.
So the greatest common factor 49368 and 49385 is 17.

Also check out the Least Common Multiple of 49368 and 49385