What is the Greatest Common Factor of 27560 and 27567?

Greatest common factor (GCF) of 27560 and 27567 is 1.

GCF(27560,27567) = 1

We will now calculate the prime factors of 27560 and 27567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27560 and 27567.

How to find the GCF of 27560 and 27567?

We will first find the prime factorization of 27560 and 27567. After we will calculate the factors of 27560 and 27567 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 27567

Prime factors of 27567 are 3, 1021. Prime factorization of 27567 in exponential form is:

27567 = 3³ × 1021¹

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 27567

List of positive integer factors of 27567 that divides 27560 without a remainder.

1, 3, 9, 27, 1021, 3063, 9189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27560 and 27567. The biggest common factor number is the GCF number.
So the greatest common factor 27560 and 27567 is 1.

Also check out the Least Common Multiple of 27560 and 27567