What is the Greatest Common Factor of 48645 and 48653?

Greatest common factor (GCF) of 48645 and 48653 is 1.

GCF(48645,48653) = 1

We will now calculate the prime factors of 48645 and 48653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48645 and 48653.

How to find the GCF of 48645 and 48653?

We will first find the prime factorization of 48645 and 48653. After we will calculate the factors of 48645 and 48653 and find the biggest common factor number .

Step-1: Prime Factorization of 48645

Prime factors of 48645 are 3, 5, 23, 47. Prime factorization of 48645 in exponential form is:

48645 = 3² × 5¹ × 23¹ × 47¹

Step-2: Prime Factorization of 48653

Prime factors of 48653 are 11, 4423. Prime factorization of 48653 in exponential form is:

48653 = 11¹ × 4423¹

Step-3: Factors of 48645

List of positive integer factors of 48645 that divides 48645 without a remainder.

1, 3, 5, 9, 15, 23, 45, 47, 69, 115, 141, 207, 235, 345, 423, 705, 1035, 1081, 2115, 3243, 5405, 9729, 16215

Step-4: Factors of 48653

List of positive integer factors of 48653 that divides 48645 without a remainder.

1, 11, 4423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48645 and 48653. The biggest common factor number is the GCF number.
So the greatest common factor 48645 and 48653 is 1.

Also check out the Least Common Multiple of 48645 and 48653