What is the Greatest Common Factor of 49856 and 49875?

Greatest common factor (GCF) of 49856 and 49875 is 19.

GCF(49856,49875) = 19

We will now calculate the prime factors of 49856 and 49875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49856 and 49875.

How to find the GCF of 49856 and 49875?

We will first find the prime factorization of 49856 and 49875. After we will calculate the factors of 49856 and 49875 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49875

Prime factors of 49875 are 3, 5, 7, 19. Prime factorization of 49875 in exponential form is:

49875 = 3¹ × 5³ × 7¹ × 19¹

Step-3: Factors of 49856

List of positive integer factors of 49856 that divides 49856 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

Step-4: Factors of 49875

List of positive integer factors of 49875 that divides 49856 without a remainder.

1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 125, 133, 175, 285, 375, 399, 475, 525, 665, 875, 1425, 1995, 2375, 2625, 3325, 7125, 9975, 16625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49856 and 49875. The biggest common factor number is the GCF number.
So the greatest common factor 49856 and 49875 is 19.

Also check out the Least Common Multiple of 49856 and 49875