What is the Greatest Common Factor of 27560 and 27575?

Greatest common factor (GCF) of 27560 and 27575 is 5.

GCF(27560,27575) = 5

We will now calculate the prime factors of 27560 and 27575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27560 and 27575.

How to find the GCF of 27560 and 27575?

We will first find the prime factorization of 27560 and 27575. After we will calculate the factors of 27560 and 27575 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27575

Prime factors of 27575 are 5, 1103. Prime factorization of 27575 in exponential form is:

27575 = 5² × 1103¹

Step-3: Factors of 27560

List of positive integer factors of 27560 that divides 27560 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

Step-4: Factors of 27575

List of positive integer factors of 27575 that divides 27560 without a remainder.

1, 5, 25, 1103, 5515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27560 and 27575. The biggest common factor number is the GCF number.
So the greatest common factor 27560 and 27575 is 5.

Also check out the Least Common Multiple of 27560 and 27575