What is the Greatest Common Factor of 5502 and 5516?

Greatest common factor (GCF) of 5502 and 5516 is 14.

GCF(5502,5516) = 14

We will now calculate the prime factors of 5502 and 5516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5502 and 5516.

How to find the GCF of 5502 and 5516?

We will first find the prime factorization of 5502 and 5516. After we will calculate the factors of 5502 and 5516 and find the biggest common factor number .

Step-1: Prime Factorization of 5502

Prime factors of 5502 are 2, 3, 7, 131. Prime factorization of 5502 in exponential form is:

5502 = 2¹ × 3¹ × 7¹ × 131¹

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 5502

List of positive integer factors of 5502 that divides 5502 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751

Step-4: Factors of 5516

List of positive integer factors of 5516 that divides 5502 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 5502 and 5516. The biggest common factor number is the GCF number.
So the greatest common factor 5502 and 5516 is 14.

Also check out the Least Common Multiple of 5502 and 5516