What is the Greatest Common Factor of 15533 and 15540?

Greatest common factor (GCF) of 15533 and 15540 is 7.

GCF(15533,15540) = 7

We will now calculate the prime factors of 15533 and 15540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15533 and 15540.

How to find the GCF of 15533 and 15540?

We will first find the prime factorization of 15533 and 15540. After we will calculate the factors of 15533 and 15540 and find the biggest common factor number .

Step-1: Prime Factorization of 15533

Prime factors of 15533 are 7, 317. Prime factorization of 15533 in exponential form is:

15533 = 7² × 317¹

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 15533

List of positive integer factors of 15533 that divides 15533 without a remainder.

1, 7, 49, 317, 2219

Step-4: Factors of 15540

List of positive integer factors of 15540 that divides 15533 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 15533 and 15540. The biggest common factor number is the GCF number.
So the greatest common factor 15533 and 15540 is 7.

Also check out the Least Common Multiple of 15533 and 15540