What is the Greatest Common Factor of 10542 and 10556?

Greatest common factor (GCF) of 10542 and 10556 is 14.

GCF(10542,10556) = 14

We will now calculate the prime factors of 10542 and 10556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10542 and 10556.

How to find the GCF of 10542 and 10556?

We will first find the prime factorization of 10542 and 10556. After we will calculate the factors of 10542 and 10556 and find the biggest common factor number .

Step-1: Prime Factorization of 10542

Prime factors of 10542 are 2, 3, 7, 251. Prime factorization of 10542 in exponential form is:

10542 = 2¹ × 3¹ × 7¹ × 251¹

Step-2: 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-3: Factors of 10542

List of positive integer factors of 10542 that divides 10542 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 251, 502, 753, 1506, 1757, 3514, 5271

Step-4: Factors of 10556

List of positive integer factors of 10556 that divides 10542 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10542 and 10556. The biggest common factor number is the GCF number.
So the greatest common factor 10542 and 10556 is 14.

Also check out the Least Common Multiple of 10542 and 10556