What is the Greatest Common Factor of 27569 and 27577?

Greatest common factor (GCF) of 27569 and 27577 is 1.

GCF(27569,27577) = 1

We will now calculate the prime factors of 27569 and 27577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27569 and 27577.

How to find the GCF of 27569 and 27577?

We will first find the prime factorization of 27569 and 27577. After we will calculate the factors of 27569 and 27577 and find the biggest common factor number .

Step-1: Prime Factorization of 27569

Prime factors of 27569 are 19, 1451. Prime factorization of 27569 in exponential form is:

27569 = 19¹ × 1451¹

Step-2: Prime Factorization of 27577

Prime factors of 27577 are 11, 23, 109. Prime factorization of 27577 in exponential form is:

27577 = 11¹ × 23¹ × 109¹

Step-3: Factors of 27569

List of positive integer factors of 27569 that divides 27569 without a remainder.

1, 19, 1451

Step-4: Factors of 27577

List of positive integer factors of 27577 that divides 27569 without a remainder.

1, 11, 23, 109, 253, 1199, 2507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27569 and 27577. The biggest common factor number is the GCF number.
So the greatest common factor 27569 and 27577 is 1.

Also check out the Least Common Multiple of 27569 and 27577