What is the Greatest Common Factor of 5678 and 5694?

Greatest common factor (GCF) of 5678 and 5694 is 2.

GCF(5678,5694) = 2

We will now calculate the prime factors of 5678 and 5694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5678 and 5694.

How to find the GCF of 5678 and 5694?

We will first find the prime factorization of 5678 and 5694. After we will calculate the factors of 5678 and 5694 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 5694

Prime factors of 5694 are 2, 3, 13, 73. Prime factorization of 5694 in exponential form is:

5694 = 2¹ × 3¹ × 13¹ × 73¹

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 5694

List of positive integer factors of 5694 that divides 5678 without a remainder.

1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5678 and 5694. The biggest common factor number is the GCF number.
So the greatest common factor 5678 and 5694 is 2.

Also check out the Least Common Multiple of 5678 and 5694