What is the Greatest Common Factor of 30510 and 30525?

Greatest common factor (GCF) of 30510 and 30525 is 15.

GCF(30510,30525) = 15

We will now calculate the prime factors of 30510 and 30525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30510 and 30525.

How to find the GCF of 30510 and 30525?

We will first find the prime factorization of 30510 and 30525. After we will calculate the factors of 30510 and 30525 and find the biggest common factor number .

Step-1: Prime Factorization of 30510

Prime factors of 30510 are 2, 3, 5, 113. Prime factorization of 30510 in exponential form is:

30510 = 2¹ × 3³ × 5¹ × 113¹

Step-2: Prime Factorization of 30525

Prime factors of 30525 are 3, 5, 11, 37. Prime factorization of 30525 in exponential form is:

30525 = 3¹ × 5² × 11¹ × 37¹

Step-3: Factors of 30510

List of positive integer factors of 30510 that divides 30510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 113, 135, 226, 270, 339, 565, 678, 1017, 1130, 1695, 2034, 3051, 3390, 5085, 6102, 10170, 15255

Step-4: Factors of 30525

List of positive integer factors of 30525 that divides 30510 without a remainder.

1, 3, 5, 11, 15, 25, 33, 37, 55, 75, 111, 165, 185, 275, 407, 555, 825, 925, 1221, 2035, 2775, 6105, 10175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30510 and 30525. The biggest common factor number is the GCF number.
So the greatest common factor 30510 and 30525 is 15.

Also check out the Least Common Multiple of 30510 and 30525