What is the Greatest Common Factor of 27594 and 27614?

Greatest common factor (GCF) of 27594 and 27614 is 2.

GCF(27594,27614) = 2

We will now calculate the prime factors of 27594 and 27614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27594 and 27614.

How to find the GCF of 27594 and 27614?

We will first find the prime factorization of 27594 and 27614. After we will calculate the factors of 27594 and 27614 and find the biggest common factor number .

Step-1: Prime Factorization of 27594

Prime factors of 27594 are 2, 3, 7, 73. Prime factorization of 27594 in exponential form is:

27594 = 2¹ × 3³ × 7¹ × 73¹

Step-2: Prime Factorization of 27614

Prime factors of 27614 are 2, 13807. Prime factorization of 27614 in exponential form is:

27614 = 2¹ × 13807¹

Step-3: Factors of 27594

List of positive integer factors of 27594 that divides 27594 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 73, 126, 146, 189, 219, 378, 438, 511, 657, 1022, 1314, 1533, 1971, 3066, 3942, 4599, 9198, 13797

Step-4: Factors of 27614

List of positive integer factors of 27614 that divides 27594 without a remainder.

1, 2, 13807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27594 and 27614. The biggest common factor number is the GCF number.
So the greatest common factor 27594 and 27614 is 2.

Also check out the Least Common Multiple of 27594 and 27614