What is the Greatest Common Factor of 49875 and 49882?

Greatest common factor (GCF) of 49875 and 49882 is 7.

GCF(49875,49882) = 7

We will now calculate the prime factors of 49875 and 49882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49875 and 49882.

How to find the GCF of 49875 and 49882?

We will first find the prime factorization of 49875 and 49882. After we will calculate the factors of 49875 and 49882 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 49882

Prime factors of 49882 are 2, 7, 509. Prime factorization of 49882 in exponential form is:

49882 = 2¹ × 7² × 509¹

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 49882

List of positive integer factors of 49882 that divides 49875 without a remainder.

1, 2, 7, 14, 49, 98, 509, 1018, 3563, 7126, 24941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49875 and 49882. The biggest common factor number is the GCF number.
So the greatest common factor 49875 and 49882 is 7.

Also check out the Least Common Multiple of 49875 and 49882