What is the Greatest Common Factor of 2516 and 2533?

Greatest common factor (GCF) of 2516 and 2533 is 17.

GCF(2516,2533) = 17

We will now calculate the prime factors of 2516 and 2533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2516 and 2533.

How to find the GCF of 2516 and 2533?

We will first find the prime factorization of 2516 and 2533. After we will calculate the factors of 2516 and 2533 and find the biggest common factor number .

Step-1: Prime Factorization of 2516

Prime factors of 2516 are 2, 17, 37. Prime factorization of 2516 in exponential form is:

2516 = 2² × 17¹ × 37¹

Step-2: Prime Factorization of 2533

Prime factors of 2533 are 17, 149. Prime factorization of 2533 in exponential form is:

2533 = 17¹ × 149¹

Step-3: Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258

Step-4: Factors of 2533

List of positive integer factors of 2533 that divides 2516 without a remainder.

1, 17, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2516 and 2533. The biggest common factor number is the GCF number.
So the greatest common factor 2516 and 2533 is 17.

Also check out the Least Common Multiple of 2516 and 2533