What is the Greatest Common Factor of 49842 and 49856?

Greatest common factor (GCF) of 49842 and 49856 is 2.

GCF(49842,49856) = 2

We will now calculate the prime factors of 49842 and 49856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49842 and 49856.

How to find the GCF of 49842 and 49856?

We will first find the prime factorization of 49842 and 49856. After we will calculate the factors of 49842 and 49856 and find the biggest common factor number .

Step-1: Prime Factorization of 49842

Prime factors of 49842 are 2, 3, 13, 71. Prime factorization of 49842 in exponential form is:

49842 = 2¹ × 3³ × 13¹ × 71¹

Step-2: Prime Factorization of 49856

Prime factors of 49856 are 2, 19, 41. Prime factorization of 49856 in exponential form is:

49856 = 2⁶ × 19¹ × 41¹

Step-3: Factors of 49842

List of positive integer factors of 49842 that divides 49842 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 71, 78, 117, 142, 213, 234, 351, 426, 639, 702, 923, 1278, 1846, 1917, 2769, 3834, 5538, 8307, 16614, 24921

Step-4: Factors of 49856

List of positive integer factors of 49856 that divides 49842 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 64, 76, 82, 152, 164, 304, 328, 608, 656, 779, 1216, 1312, 1558, 2624, 3116, 6232, 12464, 24928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49842 and 49856. The biggest common factor number is the GCF number.
So the greatest common factor 49842 and 49856 is 2.

Also check out the Least Common Multiple of 49842 and 49856