What is the Greatest Common Factor of 15540 and 15554?

Greatest common factor (GCF) of 15540 and 15554 is 14.

GCF(15540,15554) = 14

We will now calculate the prime factors of 15540 and 15554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15540 and 15554.

How to find the GCF of 15540 and 15554?

We will first find the prime factorization of 15540 and 15554. After we will calculate the factors of 15540 and 15554 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15554

Prime factors of 15554 are 2, 7, 11, 101. Prime factorization of 15554 in exponential form is:

15554 = 2¹ × 7¹ × 11¹ × 101¹

Step-3: Factors of 15540

List of positive integer factors of 15540 that divides 15540 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

Step-4: Factors of 15554

List of positive integer factors of 15554 that divides 15540 without a remainder.

1, 2, 7, 11, 14, 22, 77, 101, 154, 202, 707, 1111, 1414, 2222, 7777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15540 and 15554. The biggest common factor number is the GCF number.
So the greatest common factor 15540 and 15554 is 14.

Also check out the Least Common Multiple of 15540 and 15554