What is the Greatest Common Factor of 72539 and 72556?

Greatest common factor (GCF) of 72539 and 72556 is 17.

GCF(72539,72556) = 17

We will now calculate the prime factors of 72539 and 72556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72539 and 72556.

How to find the GCF of 72539 and 72556?

We will first find the prime factorization of 72539 and 72556. After we will calculate the factors of 72539 and 72556 and find the biggest common factor number .

Step-1: Prime Factorization of 72539

Prime factors of 72539 are 17, 251. Prime factorization of 72539 in exponential form is:

72539 = 17² × 251¹

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 72539

List of positive integer factors of 72539 that divides 72539 without a remainder.

1, 17, 251, 289, 4267

Step-4: Factors of 72556

List of positive integer factors of 72556 that divides 72539 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 72539 and 72556. The biggest common factor number is the GCF number.
So the greatest common factor 72539 and 72556 is 17.

Also check out the Least Common Multiple of 72539 and 72556