What is the Greatest Common Factor of 49875 and 49892?

Greatest common factor (GCF) of 49875 and 49892 is 1.

GCF(49875,49892) = 1

We will now calculate the prime factors of 49875 and 49892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49875 and 49892.

How to find the GCF of 49875 and 49892?

We will first find the prime factorization of 49875 and 49892. After we will calculate the factors of 49875 and 49892 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 49892

Prime factors of 49892 are 2, 12473. Prime factorization of 49892 in exponential form is:

49892 = 2² × 12473¹

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 49892

List of positive integer factors of 49892 that divides 49875 without a remainder.

1, 2, 4, 12473, 24946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49875 and 49892. The biggest common factor number is the GCF number.
So the greatest common factor 49875 and 49892 is 1.

Also check out the Least Common Multiple of 49875 and 49892