What is the Greatest Common Factor of 90538 and 90556?

Greatest common factor (GCF) of 90538 and 90556 is 2.

GCF(90538,90556) = 2

We will now calculate the prime factors of 90538 and 90556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90538 and 90556.

How to find the GCF of 90538 and 90556?

We will first find the prime factorization of 90538 and 90556. After we will calculate the factors of 90538 and 90556 and find the biggest common factor number .

Step-1: Prime Factorization of 90538

Prime factors of 90538 are 2, 7, 29, 223. Prime factorization of 90538 in exponential form is:

90538 = 2¹ × 7¹ × 29¹ × 223¹

Step-2: Prime Factorization of 90556

Prime factors of 90556 are 2, 22639. Prime factorization of 90556 in exponential form is:

90556 = 2² × 22639¹

Step-3: Factors of 90538

List of positive integer factors of 90538 that divides 90538 without a remainder.

1, 2, 7, 14, 29, 58, 203, 223, 406, 446, 1561, 3122, 6467, 12934, 45269

Step-4: Factors of 90556

List of positive integer factors of 90556 that divides 90538 without a remainder.

1, 2, 4, 22639, 45278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90538 and 90556. The biggest common factor number is the GCF number.
So the greatest common factor 90538 and 90556 is 2.

Also check out the Least Common Multiple of 90538 and 90556