What is the Greatest Common Factor of 62543 and 62556?

Greatest common factor (GCF) of 62543 and 62556 is 13.

GCF(62543,62556) = 13

We will now calculate the prime factors of 62543 and 62556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62543 and 62556.

How to find the GCF of 62543 and 62556?

We will first find the prime factorization of 62543 and 62556. After we will calculate the factors of 62543 and 62556 and find the biggest common factor number .

Step-1: Prime Factorization of 62543

Prime factors of 62543 are 13, 17, 283. Prime factorization of 62543 in exponential form is:

62543 = 13¹ × 17¹ × 283¹

Step-2: Prime Factorization of 62556

Prime factors of 62556 are 2, 3, 13, 401. Prime factorization of 62556 in exponential form is:

62556 = 2² × 3¹ × 13¹ × 401¹

Step-3: Factors of 62543

List of positive integer factors of 62543 that divides 62543 without a remainder.

1, 13, 17, 221, 283, 3679, 4811

Step-4: Factors of 62556

List of positive integer factors of 62556 that divides 62543 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 401, 802, 1203, 1604, 2406, 4812, 5213, 10426, 15639, 20852, 31278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62543 and 62556. The biggest common factor number is the GCF number.
So the greatest common factor 62543 and 62556 is 13.

Also check out the Least Common Multiple of 62543 and 62556