What is the Greatest Common Factor of 90334 and 90352?

Greatest common factor (GCF) of 90334 and 90352 is 2.

GCF(90334,90352) = 2

We will now calculate the prime factors of 90334 and 90352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90334 and 90352.

How to find the GCF of 90334 and 90352?

We will first find the prime factorization of 90334 and 90352. After we will calculate the factors of 90334 and 90352 and find the biggest common factor number .

Step-1: Prime Factorization of 90334

Prime factors of 90334 are 2, 31, 47. Prime factorization of 90334 in exponential form is:

90334 = 2¹ × 31² × 47¹

Step-2: Prime Factorization of 90352

Prime factors of 90352 are 2, 5647. Prime factorization of 90352 in exponential form is:

90352 = 2⁴ × 5647¹

Step-3: Factors of 90334

List of positive integer factors of 90334 that divides 90334 without a remainder.

1, 2, 31, 47, 62, 94, 961, 1457, 1922, 2914, 45167

Step-4: Factors of 90352

List of positive integer factors of 90352 that divides 90334 without a remainder.

1, 2, 4, 8, 16, 5647, 11294, 22588, 45176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90334 and 90352. The biggest common factor number is the GCF number.
So the greatest common factor 90334 and 90352 is 2.

Also check out the Least Common Multiple of 90334 and 90352