What is the Greatest Common Factor of 15496 and 15507?

Greatest common factor (GCF) of 15496 and 15507 is 1.

GCF(15496,15507) = 1

We will now calculate the prime factors of 15496 and 15507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15496 and 15507.

How to find the GCF of 15496 and 15507?

We will first find the prime factorization of 15496 and 15507. After we will calculate the factors of 15496 and 15507 and find the biggest common factor number .

Step-1: Prime Factorization of 15496

Prime factors of 15496 are 2, 13, 149. Prime factorization of 15496 in exponential form is:

15496 = 2³ × 13¹ × 149¹

Step-2: Prime Factorization of 15507

Prime factors of 15507 are 3, 1723. Prime factorization of 15507 in exponential form is:

15507 = 3² × 1723¹

Step-3: Factors of 15496

List of positive integer factors of 15496 that divides 15496 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 149, 298, 596, 1192, 1937, 3874, 7748

Step-4: Factors of 15507

List of positive integer factors of 15507 that divides 15496 without a remainder.

1, 3, 9, 1723, 5169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15496 and 15507. The biggest common factor number is the GCF number.
So the greatest common factor 15496 and 15507 is 1.

Also check out the Least Common Multiple of 15496 and 15507