What is the Greatest Common Factor of 72538 and 72556?

Greatest common factor (GCF) of 72538 and 72556 is 2.

GCF(72538,72556) = 2

We will now calculate the prime factors of 72538 and 72556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72538 and 72556.

How to find the GCF of 72538 and 72556?

We will first find the prime factorization of 72538 and 72556. After we will calculate the factors of 72538 and 72556 and find the biggest common factor number .

Step-1: Prime Factorization of 72538

Prime factors of 72538 are 2, 36269. Prime factorization of 72538 in exponential form is:

72538 = 2¹ × 36269¹

Step-2: Prime Factorization of 72556

Prime factors of 72556 are 2, 11, 17, 97. Prime factorization of 72556 in exponential form is:

72556 = 2² × 11¹ × 17¹ × 97¹

Step-3: Factors of 72538

List of positive integer factors of 72538 that divides 72538 without a remainder.

1, 2, 36269

Step-4: Factors of 72556

List of positive integer factors of 72556 that divides 72538 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 97, 187, 194, 374, 388, 748, 1067, 1649, 2134, 3298, 4268, 6596, 18139, 36278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72538 and 72556. The biggest common factor number is the GCF number.
So the greatest common factor 72538 and 72556 is 2.

Also check out the Least Common Multiple of 72538 and 72556