What is the Greatest Common Factor of 90344 and 90348?

Greatest common factor (GCF) of 90344 and 90348 is 4.

GCF(90344,90348) = 4

We will now calculate the prime factors of 90344 and 90348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90344 and 90348.

How to find the GCF of 90344 and 90348?

We will first find the prime factorization of 90344 and 90348. After we will calculate the factors of 90344 and 90348 and find the biggest common factor number .

Step-1: Prime Factorization of 90344

Prime factors of 90344 are 2, 23, 491. Prime factorization of 90344 in exponential form is:

90344 = 2³ × 23¹ × 491¹

Step-2: Prime Factorization of 90348

Prime factors of 90348 are 2, 3, 7529. Prime factorization of 90348 in exponential form is:

90348 = 2² × 3¹ × 7529¹

Step-3: Factors of 90344

List of positive integer factors of 90344 that divides 90344 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 491, 982, 1964, 3928, 11293, 22586, 45172

Step-4: Factors of 90348

List of positive integer factors of 90348 that divides 90344 without a remainder.

1, 2, 3, 4, 6, 12, 7529, 15058, 22587, 30116, 45174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90344 and 90348. The biggest common factor number is the GCF number.
So the greatest common factor 90344 and 90348 is 4.

Also check out the Least Common Multiple of 90344 and 90348