What is the Greatest Common Factor of 2509 and 2526?

Greatest common factor (GCF) of 2509 and 2526 is 1.

GCF(2509,2526) = 1

We will now calculate the prime factors of 2509 and 2526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2509 and 2526.

How to find the GCF of 2509 and 2526?

We will first find the prime factorization of 2509 and 2526. After we will calculate the factors of 2509 and 2526 and find the biggest common factor number .

Step-1: Prime Factorization of 2509

Prime factors of 2509 are 13, 193. Prime factorization of 2509 in exponential form is:

2509 = 13¹ × 193¹

Step-2: Prime Factorization of 2526

Prime factors of 2526 are 2, 3, 421. Prime factorization of 2526 in exponential form is:

2526 = 2¹ × 3¹ × 421¹

Step-3: Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1, 13, 193

Step-4: Factors of 2526

List of positive integer factors of 2526 that divides 2509 without a remainder.

1, 2, 3, 6, 421, 842, 1263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2509 and 2526. The biggest common factor number is the GCF number.
So the greatest common factor 2509 and 2526 is 1.

Also check out the Least Common Multiple of 2509 and 2526