What is the Greatest Common Factor of 48760 and 48770?

Greatest common factor (GCF) of 48760 and 48770 is 10.

GCF(48760,48770) = 10

We will now calculate the prime factors of 48760 and 48770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48760 and 48770.

How to find the GCF of 48760 and 48770?

We will first find the prime factorization of 48760 and 48770. After we will calculate the factors of 48760 and 48770 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 48770

Prime factors of 48770 are 2, 5, 4877. Prime factorization of 48770 in exponential form is:

48770 = 2¹ × 5¹ × 4877¹

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 48770

List of positive integer factors of 48770 that divides 48760 without a remainder.

1, 2, 5, 10, 4877, 9754, 24385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48760 and 48770. The biggest common factor number is the GCF number.
So the greatest common factor 48760 and 48770 is 10.

Also check out the Least Common Multiple of 48760 and 48770