What is the Greatest Common Factor of 48520 and 48530?

Greatest common factor (GCF) of 48520 and 48530 is 10.

GCF(48520,48530) = 10

We will now calculate the prime factors of 48520 and 48530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48520 and 48530.

How to find the GCF of 48520 and 48530?

We will first find the prime factorization of 48520 and 48530. After we will calculate the factors of 48520 and 48530 and find the biggest common factor number .

Step-1: Prime Factorization of 48520

Prime factors of 48520 are 2, 5, 1213. Prime factorization of 48520 in exponential form is:

48520 = 2³ × 5¹ × 1213¹

Step-2: Prime Factorization of 48530

Prime factors of 48530 are 2, 5, 23, 211. Prime factorization of 48530 in exponential form is:

48530 = 2¹ × 5¹ × 23¹ × 211¹

Step-3: Factors of 48520

List of positive integer factors of 48520 that divides 48520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1213, 2426, 4852, 6065, 9704, 12130, 24260

Step-4: Factors of 48530

List of positive integer factors of 48530 that divides 48520 without a remainder.

1, 2, 5, 10, 23, 46, 115, 211, 230, 422, 1055, 2110, 4853, 9706, 24265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48520 and 48530. The biggest common factor number is the GCF number.
So the greatest common factor 48520 and 48530 is 10.

Also check out the Least Common Multiple of 48520 and 48530