What is the Greatest Common Factor of 2520 and 2538?

Greatest common factor (GCF) of 2520 and 2538 is 18.

GCF(2520,2538) = 18

We will now calculate the prime factors of 2520 and 2538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2520 and 2538.

How to find the GCF of 2520 and 2538?

We will first find the prime factorization of 2520 and 2538. After we will calculate the factors of 2520 and 2538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2538

Prime factors of 2538 are 2, 3, 47. Prime factorization of 2538 in exponential form is:

2538 = 2¹ × 3³ × 47¹

Step-3: Factors of 2520

List of positive integer factors of 2520 that divides 2520 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

Step-4: Factors of 2538

List of positive integer factors of 2538 that divides 2520 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2520 and 2538. The biggest common factor number is the GCF number.
So the greatest common factor 2520 and 2538 is 18.

Also check out the Least Common Multiple of 2520 and 2538