What is the Greatest Common Factor of 15502 and 15506?

Greatest common factor (GCF) of 15502 and 15506 is 2.

GCF(15502,15506) = 2

We will now calculate the prime factors of 15502 and 15506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15502 and 15506.

How to find the GCF of 15502 and 15506?

We will first find the prime factorization of 15502 and 15506. After we will calculate the factors of 15502 and 15506 and find the biggest common factor number .

Step-1: Prime Factorization of 15502

Prime factors of 15502 are 2, 23, 337. Prime factorization of 15502 in exponential form is:

15502 = 2¹ × 23¹ × 337¹

Step-2: Prime Factorization of 15506

Prime factors of 15506 are 2, 7753. Prime factorization of 15506 in exponential form is:

15506 = 2¹ × 7753¹

Step-3: Factors of 15502

List of positive integer factors of 15502 that divides 15502 without a remainder.

1, 2, 23, 46, 337, 674, 7751

Step-4: Factors of 15506

List of positive integer factors of 15506 that divides 15502 without a remainder.

1, 2, 7753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15502 and 15506. The biggest common factor number is the GCF number.
So the greatest common factor 15502 and 15506 is 2.

Also check out the Least Common Multiple of 15502 and 15506