What is the Greatest Common Factor of 48780 and 48800?

Greatest common factor (GCF) of 48780 and 48800 is 20.

GCF(48780,48800) = 20

We will now calculate the prime factors of 48780 and 48800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48780 and 48800.

How to find the GCF of 48780 and 48800?

We will first find the prime factorization of 48780 and 48800. After we will calculate the factors of 48780 and 48800 and find the biggest common factor number .

Step-1: Prime Factorization of 48780

Prime factors of 48780 are 2, 3, 5, 271. Prime factorization of 48780 in exponential form is:

48780 = 2² × 3² × 5¹ × 271¹

Step-2: Prime Factorization of 48800

Prime factors of 48800 are 2, 5, 61. Prime factorization of 48800 in exponential form is:

48800 = 2⁵ × 5² × 61¹

Step-3: Factors of 48780

List of positive integer factors of 48780 that divides 48780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 271, 542, 813, 1084, 1355, 1626, 2439, 2710, 3252, 4065, 4878, 5420, 8130, 9756, 12195, 16260, 24390

Step-4: Factors of 48800

List of positive integer factors of 48800 that divides 48780 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 61, 80, 100, 122, 160, 200, 244, 305, 400, 488, 610, 800, 976, 1220, 1525, 1952, 2440, 3050, 4880, 6100, 9760, 12200, 24400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48780 and 48800. The biggest common factor number is the GCF number.
So the greatest common factor 48780 and 48800 is 20.

Also check out the Least Common Multiple of 48780 and 48800