What is the Greatest Common Factor of 49875 and 49885?

Greatest common factor (GCF) of 49875 and 49885 is 5.

GCF(49875,49885) = 5

We will now calculate the prime factors of 49875 and 49885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49875 and 49885.

How to find the GCF of 49875 and 49885?

We will first find the prime factorization of 49875 and 49885. After we will calculate the factors of 49875 and 49885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49885

Prime factors of 49885 are 5, 11, 907. Prime factorization of 49885 in exponential form is:

49885 = 5¹ × 11¹ × 907¹

Step-3: Factors of 49875

List of positive integer factors of 49875 that divides 49875 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

Step-4: Factors of 49885

List of positive integer factors of 49885 that divides 49875 without a remainder.

1, 5, 11, 55, 907, 4535, 9977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49875 and 49885. The biggest common factor number is the GCF number.
So the greatest common factor 49875 and 49885 is 5.

Also check out the Least Common Multiple of 49875 and 49885