What is the Greatest Common Factor of 5474 and 5490?

Greatest common factor (GCF) of 5474 and 5490 is 2.

GCF(5474,5490) = 2

We will now calculate the prime factors of 5474 and 5490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5474 and 5490.

How to find the GCF of 5474 and 5490?

We will first find the prime factorization of 5474 and 5490. After we will calculate the factors of 5474 and 5490 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 5490

Prime factors of 5490 are 2, 3, 5, 61. Prime factorization of 5490 in exponential form is:

5490 = 2¹ × 3² × 5¹ × 61¹

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 5490

List of positive integer factors of 5490 that divides 5474 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5474 and 5490. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5490 is 2.

Also check out the Least Common Multiple of 5474 and 5490