What is the Greatest Common Factor of 90522 and 90536?

Greatest common factor (GCF) of 90522 and 90536 is 2.

GCF(90522,90536) = 2

We will now calculate the prime factors of 90522 and 90536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90522 and 90536.

How to find the GCF of 90522 and 90536?

We will first find the prime factorization of 90522 and 90536. After we will calculate the factors of 90522 and 90536 and find the biggest common factor number .

Step-1: Prime Factorization of 90522

Prime factors of 90522 are 2, 3, 47, 107. Prime factorization of 90522 in exponential form is:

90522 = 2¹ × 3² × 47¹ × 107¹

Step-2: Prime Factorization of 90536

Prime factors of 90536 are 2, 11317. Prime factorization of 90536 in exponential form is:

90536 = 2³ × 11317¹

Step-3: Factors of 90522

List of positive integer factors of 90522 that divides 90522 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 107, 141, 214, 282, 321, 423, 642, 846, 963, 1926, 5029, 10058, 15087, 30174, 45261

Step-4: Factors of 90536

List of positive integer factors of 90536 that divides 90522 without a remainder.

1, 2, 4, 8, 11317, 22634, 45268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90522 and 90536. The biggest common factor number is the GCF number.
So the greatest common factor 90522 and 90536 is 2.

Also check out the Least Common Multiple of 90522 and 90536