What is the Greatest Common Factor of 48500 and 48510?

Greatest common factor (GCF) of 48500 and 48510 is 10.

GCF(48500,48510) = 10

We will now calculate the prime factors of 48500 and 48510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48500 and 48510.

How to find the GCF of 48500 and 48510?

We will first find the prime factorization of 48500 and 48510. After we will calculate the factors of 48500 and 48510 and find the biggest common factor number .

Step-1: Prime Factorization of 48500

Prime factors of 48500 are 2, 5, 97. Prime factorization of 48500 in exponential form is:

48500 = 2² × 5³ × 97¹

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 48500

List of positive integer factors of 48500 that divides 48500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 125, 194, 250, 388, 485, 500, 970, 1940, 2425, 4850, 9700, 12125, 24250

Step-4: Factors of 48510

List of positive integer factors of 48510 that divides 48500 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 48500 and 48510. The biggest common factor number is the GCF number.
So the greatest common factor 48500 and 48510 is 10.

Also check out the Least Common Multiple of 48500 and 48510