What is the Greatest Common Factor of 27722 and 27733?

Greatest common factor (GCF) of 27722 and 27733 is 1.

GCF(27722,27733) = 1

We will now calculate the prime factors of 27722 and 27733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27722 and 27733.

How to find the GCF of 27722 and 27733?

We will first find the prime factorization of 27722 and 27733. After we will calculate the factors of 27722 and 27733 and find the biggest common factor number .

Step-1: Prime Factorization of 27722

Prime factors of 27722 are 2, 83, 167. Prime factorization of 27722 in exponential form is:

27722 = 2¹ × 83¹ × 167¹

Step-2: Prime Factorization of 27733

Prime factors of 27733 are 27733. Prime factorization of 27733 in exponential form is:

27733 = 27733¹

Step-3: Factors of 27722

List of positive integer factors of 27722 that divides 27722 without a remainder.

1, 2, 83, 166, 167, 334, 13861

Step-4: Factors of 27733

List of positive integer factors of 27733 that divides 27722 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27722 and 27733. The biggest common factor number is the GCF number.
So the greatest common factor 27722 and 27733 is 1.

Also check out the Least Common Multiple of 27722 and 27733