What is the Greatest Common Factor of 15536 and 15547?

Greatest common factor (GCF) of 15536 and 15547 is 1.

GCF(15536,15547) = 1

We will now calculate the prime factors of 15536 and 15547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15536 and 15547.

How to find the GCF of 15536 and 15547?

We will first find the prime factorization of 15536 and 15547. After we will calculate the factors of 15536 and 15547 and find the biggest common factor number .

Step-1: Prime Factorization of 15536

Prime factors of 15536 are 2, 971. Prime factorization of 15536 in exponential form is:

15536 = 2⁴ × 971¹

Step-2: Prime Factorization of 15547

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

15547 = 7¹ × 2221¹

Step-3: Factors of 15536

List of positive integer factors of 15536 that divides 15536 without a remainder.

1, 2, 4, 8, 16, 971, 1942, 3884, 7768

Step-4: Factors of 15547

List of positive integer factors of 15547 that divides 15536 without a remainder.

1, 7, 2221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15536 and 15547. The biggest common factor number is the GCF number.
So the greatest common factor 15536 and 15547 is 1.

Also check out the Least Common Multiple of 15536 and 15547