What is the Greatest Common Factor of 48510 and 48515?

Greatest common factor (GCF) of 48510 and 48515 is 5.

GCF(48510,48515) = 5

We will now calculate the prime factors of 48510 and 48515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48510 and 48515.

How to find the GCF of 48510 and 48515?

We will first find the prime factorization of 48510 and 48515. After we will calculate the factors of 48510 and 48515 and find the biggest common factor number .

Step-1: Prime Factorization of 48510

Prime factors of 48510 are 2, 3, 5, 7, 11. Prime factorization of 48510 in exponential form is:

48510 = 2¹ × 3² × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 48515

Prime factors of 48515 are 5, 31, 313. Prime factorization of 48515 in exponential form is:

48515 = 5¹ × 31¹ × 313¹

Step-3: Factors of 48510

List of positive integer factors of 48510 that divides 48510 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 49, 55, 63, 66, 70, 77, 90, 98, 99, 105, 110, 126, 147, 154, 165, 198, 210, 231, 245, 294, 315, 330, 385, 441, 462, 490, 495, 539, 630, 693, 735, 770, 882, 990, 1078, 1155, 1386, 1470, 1617, 2205, 2310, 2695, 3234, 3465, 4410, 4851, 5390, 6930, 8085, 9702, 16170, 24255

Step-4: Factors of 48515

List of positive integer factors of 48515 that divides 48510 without a remainder.

1, 5, 31, 155, 313, 1565, 9703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48510 and 48515. The biggest common factor number is the GCF number.
So the greatest common factor 48510 and 48515 is 5.

Also check out the Least Common Multiple of 48510 and 48515