What is the Greatest Common Factor of 48495 and 48510?

Greatest common factor (GCF) of 48495 and 48510 is 15.

GCF(48495,48510) = 15

We will now calculate the prime factors of 48495 and 48510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48495 and 48510.

How to find the GCF of 48495 and 48510?

We will first find the prime factorization of 48495 and 48510. After we will calculate the factors of 48495 and 48510 and find the biggest common factor number .

Step-1: Prime Factorization of 48495

Prime factors of 48495 are 3, 5, 53, 61. Prime factorization of 48495 in exponential form is:

48495 = 3¹ × 5¹ × 53¹ × 61¹

Step-2: 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-3: Factors of 48495

List of positive integer factors of 48495 that divides 48495 without a remainder.

1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165

Step-4: Factors of 48510

List of positive integer factors of 48510 that divides 48495 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48495 and 48510. The biggest common factor number is the GCF number.
So the greatest common factor 48495 and 48510 is 15.

Also check out the Least Common Multiple of 48495 and 48510