What is the Greatest Common Factor of 48880 and 48893?

Greatest common factor (GCF) of 48880 and 48893 is 13.

GCF(48880,48893) = 13

We will now calculate the prime factors of 48880 and 48893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48880 and 48893.

How to find the GCF of 48880 and 48893?

We will first find the prime factorization of 48880 and 48893. After we will calculate the factors of 48880 and 48893 and find the biggest common factor number .

Step-1: Prime Factorization of 48880

Prime factors of 48880 are 2, 5, 13, 47. Prime factorization of 48880 in exponential form is:

48880 = 2⁴ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 48893

Prime factors of 48893 are 13, 3761. Prime factorization of 48893 in exponential form is:

48893 = 13¹ × 3761¹

Step-3: Factors of 48880

List of positive integer factors of 48880 that divides 48880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 47, 52, 65, 80, 94, 104, 130, 188, 208, 235, 260, 376, 470, 520, 611, 752, 940, 1040, 1222, 1880, 2444, 3055, 3760, 4888, 6110, 9776, 12220, 24440

Step-4: Factors of 48893

List of positive integer factors of 48893 that divides 48880 without a remainder.

1, 13, 3761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48880 and 48893. The biggest common factor number is the GCF number.
So the greatest common factor 48880 and 48893 is 13.

Also check out the Least Common Multiple of 48880 and 48893