What is the Greatest Common Factor of 15560 and 15565?

Greatest common factor (GCF) of 15560 and 15565 is 5.

GCF(15560,15565) = 5

We will now calculate the prime factors of 15560 and 15565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15560 and 15565.

How to find the GCF of 15560 and 15565?

We will first find the prime factorization of 15560 and 15565. After we will calculate the factors of 15560 and 15565 and find the biggest common factor number .

Step-1: Prime Factorization of 15560

Prime factors of 15560 are 2, 5, 389. Prime factorization of 15560 in exponential form is:

15560 = 2³ × 5¹ × 389¹

Step-2: Prime Factorization of 15565

Prime factors of 15565 are 5, 11, 283. Prime factorization of 15565 in exponential form is:

15565 = 5¹ × 11¹ × 283¹

Step-3: Factors of 15560

List of positive integer factors of 15560 that divides 15560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 389, 778, 1556, 1945, 3112, 3890, 7780

Step-4: Factors of 15565

List of positive integer factors of 15565 that divides 15560 without a remainder.

1, 5, 11, 55, 283, 1415, 3113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15560 and 15565. The biggest common factor number is the GCF number.
So the greatest common factor 15560 and 15565 is 5.

Also check out the Least Common Multiple of 15560 and 15565