What is the Greatest Common Factor of 48849 and 48869?

Greatest common factor (GCF) of 48849 and 48869 is 1.

GCF(48849,48869) = 1

We will now calculate the prime factors of 48849 and 48869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48849 and 48869.

How to find the GCF of 48849 and 48869?

We will first find the prime factorization of 48849 and 48869. After we will calculate the factors of 48849 and 48869 and find the biggest common factor number .

Step-1: Prime Factorization of 48849

Prime factors of 48849 are 3, 19, 857. Prime factorization of 48849 in exponential form is:

48849 = 3¹ × 19¹ × 857¹

Step-2: Prime Factorization of 48869

Prime factors of 48869 are 48869. Prime factorization of 48869 in exponential form is:

48869 = 48869¹

Step-3: Factors of 48849

List of positive integer factors of 48849 that divides 48849 without a remainder.

1, 3, 19, 57, 857, 2571, 16283

Step-4: Factors of 48869

List of positive integer factors of 48869 that divides 48849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48849 and 48869. The biggest common factor number is the GCF number.
So the greatest common factor 48849 and 48869 is 1.

Also check out the Least Common Multiple of 48849 and 48869