What is the Greatest Common Factor of 5474 and 5486?

Greatest common factor (GCF) of 5474 and 5486 is 2.

GCF(5474,5486) = 2

We will now calculate the prime factors of 5474 and 5486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5474 and 5486.

How to find the GCF of 5474 and 5486?

We will first find the prime factorization of 5474 and 5486. After we will calculate the factors of 5474 and 5486 and find the biggest common factor number .

Step-1: Prime Factorization of 5474

Prime factors of 5474 are 2, 7, 17, 23. Prime factorization of 5474 in exponential form is:

5474 = 2¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 5486

Prime factors of 5486 are 2, 13, 211. Prime factorization of 5486 in exponential form is:

5486 = 2¹ × 13¹ × 211¹

Step-3: Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737

Step-4: Factors of 5486

List of positive integer factors of 5486 that divides 5474 without a remainder.

1, 2, 13, 26, 211, 422, 2743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5474 and 5486. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5486 is 2.

Also check out the Least Common Multiple of 5474 and 5486