What is the Greatest Common Factor of 48510 and 48525?

Greatest common factor (GCF) of 48510 and 48525 is 15.

GCF(48510,48525) = 15

We will now calculate the prime factors of 48510 and 48525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48510 and 48525.

How to find the GCF of 48510 and 48525?

We will first find the prime factorization of 48510 and 48525. After we will calculate the factors of 48510 and 48525 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 48525

Prime factors of 48525 are 3, 5, 647. Prime factorization of 48525 in exponential form is:

48525 = 3¹ × 5² × 647¹

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 48525

List of positive integer factors of 48525 that divides 48510 without a remainder.

1, 3, 5, 15, 25, 75, 647, 1941, 3235, 9705, 16175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48510 and 48525. The biggest common factor number is the GCF number.
So the greatest common factor 48510 and 48525 is 15.

Also check out the Least Common Multiple of 48510 and 48525