What is the Greatest Common Factor of 2540 and 2550?

Greatest common factor (GCF) of 2540 and 2550 is 10.

GCF(2540,2550) = 10

We will now calculate the prime factors of 2540 and 2550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2540 and 2550.

How to find the GCF of 2540 and 2550?

We will first find the prime factorization of 2540 and 2550. After we will calculate the factors of 2540 and 2550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2550

Prime factors of 2550 are 2, 3, 5, 17. Prime factorization of 2550 in exponential form is:

2550 = 2¹ × 3¹ × 5² × 17¹

Step-3: Factors of 2540

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

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

Step-4: Factors of 2550

List of positive integer factors of 2550 that divides 2540 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2540 and 2550. The biggest common factor number is the GCF number.
So the greatest common factor 2540 and 2550 is 10.

Also check out the Least Common Multiple of 2540 and 2550