What is the Greatest Common Factor of 27559 and 27573?

Greatest common factor (GCF) of 27559 and 27573 is 7.

GCF(27559,27573) = 7

We will now calculate the prime factors of 27559 and 27573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27559 and 27573.

How to find the GCF of 27559 and 27573?

We will first find the prime factorization of 27559 and 27573. After we will calculate the factors of 27559 and 27573 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 27573

Prime factors of 27573 are 3, 7, 13, 101. Prime factorization of 27573 in exponential form is:

27573 = 3¹ × 7¹ × 13¹ × 101¹

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 27573

List of positive integer factors of 27573 that divides 27559 without a remainder.

1, 3, 7, 13, 21, 39, 91, 101, 273, 303, 707, 1313, 2121, 3939, 9191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27559 and 27573. The biggest common factor number is the GCF number.
So the greatest common factor 27559 and 27573 is 7.

Also check out the Least Common Multiple of 27559 and 27573