What is the Greatest Common Factor of 47850 and 47869?

Greatest common factor (GCF) of 47850 and 47869 is 1.

GCF(47850,47869) = 1

We will now calculate the prime factors of 47850 and 47869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47850 and 47869.

How to find the GCF of 47850 and 47869?

We will first find the prime factorization of 47850 and 47869. After we will calculate the factors of 47850 and 47869 and find the biggest common factor number .

Step-1: Prime Factorization of 47850

Prime factors of 47850 are 2, 3, 5, 11, 29. Prime factorization of 47850 in exponential form is:

47850 = 2¹ × 3¹ × 5² × 11¹ × 29¹

Step-2: Prime Factorization of 47869

Prime factors of 47869 are 47869. Prime factorization of 47869 in exponential form is:

47869 = 47869¹

Step-3: Factors of 47850

List of positive integer factors of 47850 that divides 47850 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 29, 30, 33, 50, 55, 58, 66, 75, 87, 110, 145, 150, 165, 174, 275, 290, 319, 330, 435, 550, 638, 725, 825, 870, 957, 1450, 1595, 1650, 1914, 2175, 3190, 4350, 4785, 7975, 9570, 15950, 23925

Step-4: Factors of 47869

List of positive integer factors of 47869 that divides 47850 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47850 and 47869. The biggest common factor number is the GCF number.
So the greatest common factor 47850 and 47869 is 1.

Also check out the Least Common Multiple of 47850 and 47869