What is the Greatest Common Factor of 5674 and 5692?

Greatest common factor (GCF) of 5674 and 5692 is 2.

GCF(5674,5692) = 2

We will now calculate the prime factors of 5674 and 5692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5674 and 5692.

How to find the GCF of 5674 and 5692?

We will first find the prime factorization of 5674 and 5692. After we will calculate the factors of 5674 and 5692 and find the biggest common factor number .

Step-1: Prime Factorization of 5674

Prime factors of 5674 are 2, 2837. Prime factorization of 5674 in exponential form is:

5674 = 2¹ × 2837¹

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 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1, 2, 2837

Step-4: Factors of 5692

List of positive integer factors of 5692 that divides 5674 without a remainder.

1, 2, 4, 1423, 2846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5674 and 5692. The biggest common factor number is the GCF number.
So the greatest common factor 5674 and 5692 is 2.

Also check out the Least Common Multiple of 5674 and 5692