What is the Greatest Common Factor of 2530 and 2540?

Greatest common factor (GCF) of 2530 and 2540 is 10.

GCF(2530,2540) = 10

We will now calculate the prime factors of 2530 and 2540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2530 and 2540.

How to find the GCF of 2530 and 2540?

We will first find the prime factorization of 2530 and 2540. After we will calculate the factors of 2530 and 2540 and find the biggest common factor number .

Step-1: Prime Factorization of 2530

Prime factors of 2530 are 2, 5, 11, 23. Prime factorization of 2530 in exponential form is:

2530 = 2¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 2540

Prime factors of 2540 are 2, 5, 127. Prime factorization of 2540 in exponential form is:

2540 = 2² × 5¹ × 127¹

Step-3: Factors of 2530

List of positive integer factors of 2530 that divides 2530 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265

Step-4: Factors of 2540

List of positive integer factors of 2540 that divides 2530 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2530 and 2540. The biggest common factor number is the GCF number.
So the greatest common factor 2530 and 2540 is 10.

Also check out the Least Common Multiple of 2530 and 2540