What is the Greatest Common Factor of 27640 and 27654?

Greatest common factor (GCF) of 27640 and 27654 is 2.

GCF(27640,27654) = 2

We will now calculate the prime factors of 27640 and 27654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27640 and 27654.

How to find the GCF of 27640 and 27654?

We will first find the prime factorization of 27640 and 27654. After we will calculate the factors of 27640 and 27654 and find the biggest common factor number .

Step-1: Prime Factorization of 27640

Prime factors of 27640 are 2, 5, 691. Prime factorization of 27640 in exponential form is:

27640 = 2³ × 5¹ × 691¹

Step-2: Prime Factorization of 27654

Prime factors of 27654 are 2, 3, 11, 419. Prime factorization of 27654 in exponential form is:

27654 = 2¹ × 3¹ × 11¹ × 419¹

Step-3: Factors of 27640

List of positive integer factors of 27640 that divides 27640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 691, 1382, 2764, 3455, 5528, 6910, 13820

Step-4: Factors of 27654

List of positive integer factors of 27654 that divides 27640 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 419, 838, 1257, 2514, 4609, 9218, 13827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27640 and 27654. The biggest common factor number is the GCF number.
So the greatest common factor 27640 and 27654 is 2.

Also check out the Least Common Multiple of 27640 and 27654