What is the Greatest Common Factor of 2513 and 2520?

Greatest common factor (GCF) of 2513 and 2520 is 7.

GCF(2513,2520) = 7

We will now calculate the prime factors of 2513 and 2520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2513 and 2520.

How to find the GCF of 2513 and 2520?

We will first find the prime factorization of 2513 and 2520. After we will calculate the factors of 2513 and 2520 and find the biggest common factor number .

Step-1: Prime Factorization of 2513

Prime factors of 2513 are 7, 359. Prime factorization of 2513 in exponential form is:

2513 = 7¹ × 359¹

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 2513

List of positive integer factors of 2513 that divides 2513 without a remainder.

1, 7, 359

Step-4: Factors of 2520

List of positive integer factors of 2520 that divides 2513 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 2513 and 2520. The biggest common factor number is the GCF number.
So the greatest common factor 2513 and 2520 is 7.

Also check out the Least Common Multiple of 2513 and 2520