What is the Greatest Common Factor of 5498 and 5516?

Greatest common factor (GCF) of 5498 and 5516 is 2.

GCF(5498,5516) = 2

We will now calculate the prime factors of 5498 and 5516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5498 and 5516.

How to find the GCF of 5498 and 5516?

We will first find the prime factorization of 5498 and 5516. After we will calculate the factors of 5498 and 5516 and find the biggest common factor number .

Step-1: Prime Factorization of 5498

Prime factors of 5498 are 2, 2749. Prime factorization of 5498 in exponential form is:

5498 = 2¹ × 2749¹

Step-2: Prime Factorization of 5516

Prime factors of 5516 are 2, 7, 197. Prime factorization of 5516 in exponential form is:

5516 = 2² × 7¹ × 197¹

Step-3: Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1, 2, 2749

Step-4: Factors of 5516

List of positive integer factors of 5516 that divides 5498 without a remainder.

1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5498 and 5516. The biggest common factor number is the GCF number.
So the greatest common factor 5498 and 5516 is 2.

Also check out the Least Common Multiple of 5498 and 5516