What is the Greatest Common Factor of 10556 and 10562?

Greatest common factor (GCF) of 10556 and 10562 is 2.

GCF(10556,10562) = 2

We will now calculate the prime factors of 10556 and 10562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10556 and 10562.

How to find the GCF of 10556 and 10562?

We will first find the prime factorization of 10556 and 10562. After we will calculate the factors of 10556 and 10562 and find the biggest common factor number .

Step-1: Prime Factorization of 10556

Prime factors of 10556 are 2, 7, 13, 29. Prime factorization of 10556 in exponential form is:

10556 = 2² × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 10562

Prime factors of 10562 are 2, 5281. Prime factorization of 10562 in exponential form is:

10562 = 2¹ × 5281¹

Step-3: Factors of 10556

List of positive integer factors of 10556 that divides 10556 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 29, 52, 58, 91, 116, 182, 203, 364, 377, 406, 754, 812, 1508, 2639, 5278

Step-4: Factors of 10562

List of positive integer factors of 10562 that divides 10556 without a remainder.

1, 2, 5281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10556 and 10562. The biggest common factor number is the GCF number.
So the greatest common factor 10556 and 10562 is 2.

Also check out the Least Common Multiple of 10556 and 10562