What is the Greatest Common Factor of 48639 and 48645?

Greatest common factor (GCF) of 48639 and 48645 is 3.

GCF(48639,48645) = 3

We will now calculate the prime factors of 48639 and 48645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48639 and 48645.

How to find the GCF of 48639 and 48645?

We will first find the prime factorization of 48639 and 48645. After we will calculate the factors of 48639 and 48645 and find the biggest common factor number .

Step-1: Prime Factorization of 48639

Prime factors of 48639 are 3, 31, 523. Prime factorization of 48639 in exponential form is:

48639 = 3¹ × 31¹ × 523¹

Step-2: 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-3: Factors of 48639

List of positive integer factors of 48639 that divides 48639 without a remainder.

1, 3, 31, 93, 523, 1569, 16213

Step-4: Factors of 48645

List of positive integer factors of 48645 that divides 48639 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48639 and 48645. The biggest common factor number is the GCF number.
So the greatest common factor 48639 and 48645 is 3.

Also check out the Least Common Multiple of 48639 and 48645