What is the Greatest Common Factor of 2528 and 2542?

Greatest common factor (GCF) of 2528 and 2542 is 2.

GCF(2528,2542) = 2

We will now calculate the prime factors of 2528 and 2542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2528 and 2542.

How to find the GCF of 2528 and 2542?

We will first find the prime factorization of 2528 and 2542. After we will calculate the factors of 2528 and 2542 and find the biggest common factor number .

Step-1: Prime Factorization of 2528

Prime factors of 2528 are 2, 79. Prime factorization of 2528 in exponential form is:

2528 = 2⁵ × 79¹

Step-2: 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-3: Factors of 2528

List of positive integer factors of 2528 that divides 2528 without a remainder.

1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264

Step-4: Factors of 2542

List of positive integer factors of 2542 that divides 2528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2528 and 2542. The biggest common factor number is the GCF number.
So the greatest common factor 2528 and 2542 is 2.

Also check out the Least Common Multiple of 2528 and 2542