What is the Greatest Common Factor of 27826 and 27832?

Greatest common factor (GCF) of 27826 and 27832 is 2.

GCF(27826,27832) = 2

We will now calculate the prime factors of 27826 and 27832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27826 and 27832.

How to find the GCF of 27826 and 27832?

We will first find the prime factorization of 27826 and 27832. After we will calculate the factors of 27826 and 27832 and find the biggest common factor number .

Step-1: Prime Factorization of 27826

Prime factors of 27826 are 2, 13913. Prime factorization of 27826 in exponential form is:

27826 = 2¹ × 13913¹

Step-2: Prime Factorization of 27832

Prime factors of 27832 are 2, 7, 71. Prime factorization of 27832 in exponential form is:

27832 = 2³ × 7² × 71¹

Step-3: Factors of 27826

List of positive integer factors of 27826 that divides 27826 without a remainder.

1, 2, 13913

Step-4: Factors of 27832

List of positive integer factors of 27832 that divides 27826 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 71, 98, 142, 196, 284, 392, 497, 568, 994, 1988, 3479, 3976, 6958, 13916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27826 and 27832. The biggest common factor number is the GCF number.
So the greatest common factor 27826 and 27832 is 2.

Also check out the Least Common Multiple of 27826 and 27832