What is the Greatest Common Factor of 66542 and 66556?

Greatest common factor (GCF) of 66542 and 66556 is 14.

GCF(66542,66556) = 14

We will now calculate the prime factors of 66542 and 66556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66542 and 66556.

How to find the GCF of 66542 and 66556?

We will first find the prime factorization of 66542 and 66556. After we will calculate the factors of 66542 and 66556 and find the biggest common factor number .

Step-1: Prime Factorization of 66542

Prime factors of 66542 are 2, 7, 97. Prime factorization of 66542 in exponential form is:

66542 = 2¹ × 7³ × 97¹

Step-2: Prime Factorization of 66556

Prime factors of 66556 are 2, 7, 2377. Prime factorization of 66556 in exponential form is:

66556 = 2² × 7¹ × 2377¹

Step-3: Factors of 66542

List of positive integer factors of 66542 that divides 66542 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 343, 679, 686, 1358, 4753, 9506, 33271

Step-4: Factors of 66556

List of positive integer factors of 66556 that divides 66542 without a remainder.

1, 2, 4, 7, 14, 28, 2377, 4754, 9508, 16639, 33278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66542 and 66556. The biggest common factor number is the GCF number.
So the greatest common factor 66542 and 66556 is 14.

Also check out the Least Common Multiple of 66542 and 66556