What is the Greatest Common Factor of 48880 and 48890?

Greatest common factor (GCF) of 48880 and 48890 is 10.

GCF(48880,48890) = 10

We will now calculate the prime factors of 48880 and 48890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48880 and 48890.

How to find the GCF of 48880 and 48890?

We will first find the prime factorization of 48880 and 48890. After we will calculate the factors of 48880 and 48890 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 48890

Prime factors of 48890 are 2, 5, 4889. Prime factorization of 48890 in exponential form is:

48890 = 2¹ × 5¹ × 4889¹

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 48890

List of positive integer factors of 48890 that divides 48880 without a remainder.

1, 2, 5, 10, 4889, 9778, 24445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48880 and 48890. The biggest common factor number is the GCF number.
So the greatest common factor 48880 and 48890 is 10.

Also check out the Least Common Multiple of 48880 and 48890