What is the Greatest Common Factor of 2562 and 2569?

Greatest common factor (GCF) of 2562 and 2569 is 7.

GCF(2562,2569) = 7

We will now calculate the prime factors of 2562 and 2569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2562 and 2569.

How to find the GCF of 2562 and 2569?

We will first find the prime factorization of 2562 and 2569. After we will calculate the factors of 2562 and 2569 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2569

Prime factors of 2569 are 7, 367. Prime factorization of 2569 in exponential form is:

2569 = 7¹ × 367¹

Step-3: Factors of 2562

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

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

Step-4: Factors of 2569

List of positive integer factors of 2569 that divides 2562 without a remainder.

1, 7, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2562 and 2569. The biggest common factor number is the GCF number.
So the greatest common factor 2562 and 2569 is 7.

Also check out the Least Common Multiple of 2562 and 2569