What is the Greatest Common Factor of 2542 and 2562?

Greatest common factor (GCF) of 2542 and 2562 is 2.

GCF(2542,2562) = 2

We will now calculate the prime factors of 2542 and 2562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2542 and 2562.

How to find the GCF of 2542 and 2562?

We will first find the prime factorization of 2542 and 2562. After we will calculate the factors of 2542 and 2562 and find the biggest common factor number .

Step-1: Prime Factorization of 2542

Prime factors of 2542 are 2, 31, 41. Prime factorization of 2542 in exponential form is:

2542 = 2¹ × 31¹ × 41¹

Step-2: Prime Factorization of 2562

Prime factors of 2562 are 2, 3, 7, 61. Prime factorization of 2562 in exponential form is:

2562 = 2¹ × 3¹ × 7¹ × 61¹

Step-3: Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1, 2, 31, 41, 62, 82, 1271

Step-4: Factors of 2562

List of positive integer factors of 2562 that divides 2542 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2542 and 2562. The biggest common factor number is the GCF number.
So the greatest common factor 2542 and 2562 is 2.

Also check out the Least Common Multiple of 2542 and 2562