What is the Greatest Common Factor of 48849 and 48856?

Greatest common factor (GCF) of 48849 and 48856 is 1.

GCF(48849,48856) = 1

We will now calculate the prime factors of 48849 and 48856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48849 and 48856.

How to find the GCF of 48849 and 48856?

We will first find the prime factorization of 48849 and 48856. After we will calculate the factors of 48849 and 48856 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 48856

Prime factors of 48856 are 2, 31, 197. Prime factorization of 48856 in exponential form is:

48856 = 2³ × 31¹ × 197¹

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 48856

List of positive integer factors of 48856 that divides 48849 without a remainder.

1, 2, 4, 8, 31, 62, 124, 197, 248, 394, 788, 1576, 6107, 12214, 24428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48849 and 48856. The biggest common factor number is the GCF number.
So the greatest common factor 48849 and 48856 is 1.

Also check out the Least Common Multiple of 48849 and 48856