What is the Greatest Common Factor of 90538 and 90546?

Greatest common factor (GCF) of 90538 and 90546 is 2.

GCF(90538,90546) = 2

We will now calculate the prime factors of 90538 and 90546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90538 and 90546.

How to find the GCF of 90538 and 90546?

We will first find the prime factorization of 90538 and 90546. After we will calculate the factors of 90538 and 90546 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 90546

Prime factors of 90546 are 2, 3, 15091. Prime factorization of 90546 in exponential form is:

90546 = 2¹ × 3¹ × 15091¹

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 90546

List of positive integer factors of 90546 that divides 90538 without a remainder.

1, 2, 3, 6, 15091, 30182, 45273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90538 and 90546. The biggest common factor number is the GCF number.
So the greatest common factor 90538 and 90546 is 2.

Also check out the Least Common Multiple of 90538 and 90546