What is the Greatest Common Factor of 27559 and 27574?

Greatest common factor (GCF) of 27559 and 27574 is 1.

GCF(27559,27574) = 1

We will now calculate the prime factors of 27559 and 27574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27559 and 27574.

How to find the GCF of 27559 and 27574?

We will first find the prime factorization of 27559 and 27574. After we will calculate the factors of 27559 and 27574 and find the biggest common factor number .

Step-1: Prime Factorization of 27559

Prime factors of 27559 are 7, 31, 127. Prime factorization of 27559 in exponential form is:

27559 = 7¹ × 31¹ × 127¹

Step-2: Prime Factorization of 27574

Prime factors of 27574 are 2, 17, 811. Prime factorization of 27574 in exponential form is:

27574 = 2¹ × 17¹ × 811¹

Step-3: Factors of 27559

List of positive integer factors of 27559 that divides 27559 without a remainder.

1, 7, 31, 127, 217, 889, 3937

Step-4: Factors of 27574

List of positive integer factors of 27574 that divides 27559 without a remainder.

1, 2, 17, 34, 811, 1622, 13787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27559 and 27574. The biggest common factor number is the GCF number.
So the greatest common factor 27559 and 27574 is 1.

Also check out the Least Common Multiple of 27559 and 27574