What is the Greatest Common Factor of 48530 and 48547?

Greatest common factor (GCF) of 48530 and 48547 is 1.

GCF(48530,48547) = 1

We will now calculate the prime factors of 48530 and 48547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48530 and 48547.

How to find the GCF of 48530 and 48547?

We will first find the prime factorization of 48530 and 48547. After we will calculate the factors of 48530 and 48547 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48547

Prime factors of 48547 are 43, 1129. Prime factorization of 48547 in exponential form is:

48547 = 43¹ × 1129¹

Step-3: Factors of 48530

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

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

Step-4: Factors of 48547

List of positive integer factors of 48547 that divides 48530 without a remainder.

1, 43, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48530 and 48547. The biggest common factor number is the GCF number.
So the greatest common factor 48530 and 48547 is 1.

Also check out the Least Common Multiple of 48530 and 48547