What is the Greatest Common Factor of 48849 and 48863?

Greatest common factor (GCF) of 48849 and 48863 is 1.

GCF(48849,48863) = 1

We will now calculate the prime factors of 48849 and 48863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48849 and 48863.

How to find the GCF of 48849 and 48863?

We will first find the prime factorization of 48849 and 48863. After we will calculate the factors of 48849 and 48863 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 48863

Prime factors of 48863 are 131, 373. Prime factorization of 48863 in exponential form is:

48863 = 131¹ × 373¹

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 48863

List of positive integer factors of 48863 that divides 48849 without a remainder.

1, 131, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48849 and 48863. The biggest common factor number is the GCF number.
So the greatest common factor 48849 and 48863 is 1.

Also check out the Least Common Multiple of 48849 and 48863