What is the Greatest Common Factor of 5678 and 5692?

Greatest common factor (GCF) of 5678 and 5692 is 2.

GCF(5678,5692) = 2

We will now calculate the prime factors of 5678 and 5692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5678 and 5692.

How to find the GCF of 5678 and 5692?

We will first find the prime factorization of 5678 and 5692. After we will calculate the factors of 5678 and 5692 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 5692

Prime factors of 5692 are 2, 1423. Prime factorization of 5692 in exponential form is:

5692 = 2² × 1423¹

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 5692

List of positive integer factors of 5692 that divides 5678 without a remainder.

1, 2, 4, 1423, 2846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5678 and 5692. The biggest common factor number is the GCF number.
So the greatest common factor 5678 and 5692 is 2.

Also check out the Least Common Multiple of 5678 and 5692