What is the Greatest Common Factor of 49875 and 49890?

Greatest common factor (GCF) of 49875 and 49890 is 15.

GCF(49875,49890) = 15

We will now calculate the prime factors of 49875 and 49890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49875 and 49890.

How to find the GCF of 49875 and 49890?

We will first find the prime factorization of 49875 and 49890. After we will calculate the factors of 49875 and 49890 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 49890

Prime factors of 49890 are 2, 3, 5, 1663. Prime factorization of 49890 in exponential form is:

49890 = 2¹ × 3¹ × 5¹ × 1663¹

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 49890

List of positive integer factors of 49890 that divides 49875 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1663, 3326, 4989, 8315, 9978, 16630, 24945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49875 and 49890. The biggest common factor number is the GCF number.
So the greatest common factor 49875 and 49890 is 15.

Also check out the Least Common Multiple of 49875 and 49890