What is the Greatest Common Factor of 48605 and 48615?

Greatest common factor (GCF) of 48605 and 48615 is 5.

GCF(48605,48615) = 5

We will now calculate the prime factors of 48605 and 48615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48605 and 48615.

How to find the GCF of 48605 and 48615?

We will first find the prime factorization of 48605 and 48615. After we will calculate the factors of 48605 and 48615 and find the biggest common factor number .

Step-1: Prime Factorization of 48605

Prime factors of 48605 are 5, 9721. Prime factorization of 48605 in exponential form is:

48605 = 5¹ × 9721¹

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 48605

List of positive integer factors of 48605 that divides 48605 without a remainder.

1, 5, 9721

Step-4: Factors of 48615

List of positive integer factors of 48615 that divides 48605 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 48605 and 48615. The biggest common factor number is the GCF number.
So the greatest common factor 48605 and 48615 is 5.

Also check out the Least Common Multiple of 48605 and 48615