What is the Greatest Common Factor of 90538 and 90548?

Greatest common factor (GCF) of 90538 and 90548 is 2.

GCF(90538,90548) = 2

We will now calculate the prime factors of 90538 and 90548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90538 and 90548.

How to find the GCF of 90538 and 90548?

We will first find the prime factorization of 90538 and 90548. After we will calculate the factors of 90538 and 90548 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 90548

Prime factors of 90548 are 2, 22637. Prime factorization of 90548 in exponential form is:

90548 = 2² × 22637¹

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 90548

List of positive integer factors of 90548 that divides 90538 without a remainder.

1, 2, 4, 22637, 45274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90538 and 90548. The biggest common factor number is the GCF number.
So the greatest common factor 90538 and 90548 is 2.

Also check out the Least Common Multiple of 90538 and 90548