What is the Greatest Common Factor of 48760 and 48779?

Greatest common factor (GCF) of 48760 and 48779 is 1.

GCF(48760,48779) = 1

We will now calculate the prime factors of 48760 and 48779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48760 and 48779.

How to find the GCF of 48760 and 48779?

We will first find the prime factorization of 48760 and 48779. After we will calculate the factors of 48760 and 48779 and find the biggest common factor number .

Step-1: Prime Factorization of 48760

Prime factors of 48760 are 2, 5, 23, 53. Prime factorization of 48760 in exponential form is:

48760 = 2³ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 48779

Prime factors of 48779 are 48779. Prime factorization of 48779 in exponential form is:

48779 = 48779¹

Step-3: Factors of 48760

List of positive integer factors of 48760 that divides 48760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 53, 92, 106, 115, 184, 212, 230, 265, 424, 460, 530, 920, 1060, 1219, 2120, 2438, 4876, 6095, 9752, 12190, 24380

Step-4: Factors of 48779

List of positive integer factors of 48779 that divides 48760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48760 and 48779. The biggest common factor number is the GCF number.
So the greatest common factor 48760 and 48779 is 1.

Also check out the Least Common Multiple of 48760 and 48779