What is the Greatest Common Factor of 15525 and 15540?

Greatest common factor (GCF) of 15525 and 15540 is 15.

GCF(15525,15540) = 15

We will now calculate the prime factors of 15525 and 15540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15525 and 15540.

How to find the GCF of 15525 and 15540?

We will first find the prime factorization of 15525 and 15540. After we will calculate the factors of 15525 and 15540 and find the biggest common factor number .

Step-1: Prime Factorization of 15525

Prime factors of 15525 are 3, 5, 23. Prime factorization of 15525 in exponential form is:

15525 = 3³ × 5² × 23¹

Step-2: Prime Factorization of 15540

Prime factors of 15540 are 2, 3, 5, 7, 37. Prime factorization of 15540 in exponential form is:

15540 = 2² × 3¹ × 5¹ × 7¹ × 37¹

Step-3: Factors of 15525

List of positive integer factors of 15525 that divides 15525 without a remainder.

1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 135, 207, 225, 345, 575, 621, 675, 1035, 1725, 3105, 5175

Step-4: Factors of 15540

List of positive integer factors of 15540 that divides 15525 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 37, 42, 60, 70, 74, 84, 105, 111, 140, 148, 185, 210, 222, 259, 370, 420, 444, 518, 555, 740, 777, 1036, 1110, 1295, 1554, 2220, 2590, 3108, 3885, 5180, 7770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15525 and 15540. The biggest common factor number is the GCF number.
So the greatest common factor 15525 and 15540 is 15.

Also check out the Least Common Multiple of 15525 and 15540