What is the Greatest Common Factor of 48510 and 48524?

Greatest common factor (GCF) of 48510 and 48524 is 14.

GCF(48510,48524) = 14

We will now calculate the prime factors of 48510 and 48524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48510 and 48524.

How to find the GCF of 48510 and 48524?

We will first find the prime factorization of 48510 and 48524. After we will calculate the factors of 48510 and 48524 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 48524

Prime factors of 48524 are 2, 7, 1733. Prime factorization of 48524 in exponential form is:

48524 = 2² × 7¹ × 1733¹

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 48524

List of positive integer factors of 48524 that divides 48510 without a remainder.

1, 2, 4, 7, 14, 28, 1733, 3466, 6932, 12131, 24262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48510 and 48524. The biggest common factor number is the GCF number.
So the greatest common factor 48510 and 48524 is 14.

Also check out the Least Common Multiple of 48510 and 48524