What is the Greatest Common Factor of 5678 and 5697?

Greatest common factor (GCF) of 5678 and 5697 is 1.

GCF(5678,5697) = 1

We will now calculate the prime factors of 5678 and 5697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5678 and 5697.

How to find the GCF of 5678 and 5697?

We will first find the prime factorization of 5678 and 5697. After we will calculate the factors of 5678 and 5697 and find the biggest common factor number .

Step-1: Prime Factorization of 5678

Prime factors of 5678 are 2, 17, 167. Prime factorization of 5678 in exponential form is:

5678 = 2¹ × 17¹ × 167¹

Step-2: Prime Factorization of 5697

Prime factors of 5697 are 3, 211. Prime factorization of 5697 in exponential form is:

5697 = 3³ × 211¹

Step-3: Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1, 2, 17, 34, 167, 334, 2839

Step-4: Factors of 5697

List of positive integer factors of 5697 that divides 5678 without a remainder.

1, 3, 9, 27, 211, 633, 1899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5678 and 5697. The biggest common factor number is the GCF number.
So the greatest common factor 5678 and 5697 is 1.

Also check out the Least Common Multiple of 5678 and 5697