What is the Greatest Common Factor of 48493 and 48510?

Greatest common factor (GCF) of 48493 and 48510 is 1.

GCF(48493,48510) = 1

We will now calculate the prime factors of 48493 and 48510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48493 and 48510.

How to find the GCF of 48493 and 48510?

We will first find the prime factorization of 48493 and 48510. After we will calculate the factors of 48493 and 48510 and find the biggest common factor number .

Step-1: Prime Factorization of 48493

Prime factors of 48493 are 71, 683. Prime factorization of 48493 in exponential form is:

48493 = 71¹ × 683¹

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 48493

List of positive integer factors of 48493 that divides 48493 without a remainder.

1, 71, 683

Step-4: Factors of 48510

List of positive integer factors of 48510 that divides 48493 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 48493 and 48510. The biggest common factor number is the GCF number.
So the greatest common factor 48493 and 48510 is 1.

Also check out the Least Common Multiple of 48493 and 48510