What is the Greatest Common Factor of 30525 and 30540?

Greatest common factor (GCF) of 30525 and 30540 is 15.

GCF(30525,30540) = 15

We will now calculate the prime factors of 30525 and 30540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30525 and 30540.

How to find the GCF of 30525 and 30540?

We will first find the prime factorization of 30525 and 30540. After we will calculate the factors of 30525 and 30540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30540

Prime factors of 30540 are 2, 3, 5, 509. Prime factorization of 30540 in exponential form is:

30540 = 2² × 3¹ × 5¹ × 509¹

Step-3: Factors of 30525

List of positive integer factors of 30525 that divides 30525 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

Step-4: Factors of 30540

List of positive integer factors of 30540 that divides 30525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 509, 1018, 1527, 2036, 2545, 3054, 5090, 6108, 7635, 10180, 15270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30525 and 30540. The biggest common factor number is the GCF number.
So the greatest common factor 30525 and 30540 is 15.

Also check out the Least Common Multiple of 30525 and 30540