What is the Greatest Common Factor of 2509 and 2520?

Greatest common factor (GCF) of 2509 and 2520 is 1.

GCF(2509,2520) = 1

We will now calculate the prime factors of 2509 and 2520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2509 and 2520.

How to find the GCF of 2509 and 2520?

We will first find the prime factorization of 2509 and 2520. After we will calculate the factors of 2509 and 2520 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 2520

Prime factors of 2520 are 2, 3, 5, 7. Prime factorization of 2520 in exponential form is:

2520 = 2³ × 3² × 5¹ × 7¹

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 2520

List of positive integer factors of 2520 that divides 2509 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2509 and 2520. The biggest common factor number is the GCF number.
So the greatest common factor 2509 and 2520 is 1.

Also check out the Least Common Multiple of 2509 and 2520