What is the Greatest Common Factor of 48780 and 48799?

Greatest common factor (GCF) of 48780 and 48799 is 1.

GCF(48780,48799) = 1

We will now calculate the prime factors of 48780 and 48799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48780 and 48799.

How to find the GCF of 48780 and 48799?

We will first find the prime factorization of 48780 and 48799. After we will calculate the factors of 48780 and 48799 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 48799

Prime factors of 48799 are 48799. Prime factorization of 48799 in exponential form is:

48799 = 48799¹

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 48799

List of positive integer factors of 48799 that divides 48780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48780 and 48799. The biggest common factor number is the GCF number.
So the greatest common factor 48780 and 48799 is 1.

Also check out the Least Common Multiple of 48780 and 48799