What is the Greatest Common Factor of 15547 and 15554?

Greatest common factor (GCF) of 15547 and 15554 is 7.

GCF(15547,15554) = 7

We will now calculate the prime factors of 15547 and 15554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15547 and 15554.

How to find the GCF of 15547 and 15554?

We will first find the prime factorization of 15547 and 15554. After we will calculate the factors of 15547 and 15554 and find the biggest common factor number .

Step-1: Prime Factorization of 15547

Prime factors of 15547 are 7, 2221. Prime factorization of 15547 in exponential form is:

15547 = 7¹ × 2221¹

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 15547

List of positive integer factors of 15547 that divides 15547 without a remainder.

1, 7, 2221

Step-4: Factors of 15554

List of positive integer factors of 15554 that divides 15547 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 15547 and 15554. The biggest common factor number is the GCF number.
So the greatest common factor 15547 and 15554 is 7.

Also check out the Least Common Multiple of 15547 and 15554