What is the Greatest Common Factor of 2562 and 2573?

Greatest common factor (GCF) of 2562 and 2573 is 1.

GCF(2562,2573) = 1

We will now calculate the prime factors of 2562 and 2573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2562 and 2573.

How to find the GCF of 2562 and 2573?

We will first find the prime factorization of 2562 and 2573. After we will calculate the factors of 2562 and 2573 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 2573

Prime factors of 2573 are 31, 83. Prime factorization of 2573 in exponential form is:

2573 = 31¹ × 83¹

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 2573

List of positive integer factors of 2573 that divides 2562 without a remainder.

1, 31, 83

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2562 and 2573. The biggest common factor number is the GCF number.
So the greatest common factor 2562 and 2573 is 1.

Also check out the Least Common Multiple of 2562 and 2573