What is the Greatest Common Factor of 27547 and 27560?

Greatest common factor (GCF) of 27547 and 27560 is 13.

GCF(27547,27560) = 13

We will now calculate the prime factors of 27547 and 27560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27547 and 27560.

How to find the GCF of 27547 and 27560?

We will first find the prime factorization of 27547 and 27560. After we will calculate the factors of 27547 and 27560 and find the biggest common factor number .

Step-1: Prime Factorization of 27547

Prime factors of 27547 are 13, 163. Prime factorization of 27547 in exponential form is:

27547 = 13² × 163¹

Step-2: Prime Factorization of 27560

Prime factors of 27560 are 2, 5, 13, 53. Prime factorization of 27560 in exponential form is:

27560 = 2³ × 5¹ × 13¹ × 53¹

Step-3: Factors of 27547

List of positive integer factors of 27547 that divides 27547 without a remainder.

1, 13, 163, 169, 2119

Step-4: Factors of 27560

List of positive integer factors of 27560 that divides 27547 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 53, 65, 104, 106, 130, 212, 260, 265, 424, 520, 530, 689, 1060, 1378, 2120, 2756, 3445, 5512, 6890, 13780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27547 and 27560. The biggest common factor number is the GCF number.
So the greatest common factor 27547 and 27560 is 13.

Also check out the Least Common Multiple of 27547 and 27560