What is the Greatest Common Factor of 48609 and 48615?

Greatest common factor (GCF) of 48609 and 48615 is 3.

GCF(48609,48615) = 3

We will now calculate the prime factors of 48609 and 48615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48609 and 48615.

How to find the GCF of 48609 and 48615?

We will first find the prime factorization of 48609 and 48615. After we will calculate the factors of 48609 and 48615 and find the biggest common factor number .

Step-1: Prime Factorization of 48609

Prime factors of 48609 are 3, 11, 491. Prime factorization of 48609 in exponential form is:

48609 = 3² × 11¹ × 491¹

Step-2: Prime Factorization of 48615

Prime factors of 48615 are 3, 5, 7, 463. Prime factorization of 48615 in exponential form is:

48615 = 3¹ × 5¹ × 7¹ × 463¹

Step-3: Factors of 48609

List of positive integer factors of 48609 that divides 48609 without a remainder.

1, 3, 9, 11, 33, 99, 491, 1473, 4419, 5401, 16203

Step-4: Factors of 48615

List of positive integer factors of 48615 that divides 48609 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 463, 1389, 2315, 3241, 6945, 9723, 16205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48609 and 48615. The biggest common factor number is the GCF number.
So the greatest common factor 48609 and 48615 is 3.

Also check out the Least Common Multiple of 48609 and 48615