What is the Greatest Common Factor of 90352 and 90358?

Greatest common factor (GCF) of 90352 and 90358 is 2.

GCF(90352,90358) = 2

We will now calculate the prime factors of 90352 and 90358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90352 and 90358.

How to find the GCF of 90352 and 90358?

We will first find the prime factorization of 90352 and 90358. After we will calculate the factors of 90352 and 90358 and find the biggest common factor number .

Step-1: Prime Factorization of 90352

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

90352 = 2⁴ × 5647¹

Step-2: Prime Factorization of 90358

Prime factors of 90358 are 2, 45179. Prime factorization of 90358 in exponential form is:

90358 = 2¹ × 45179¹

Step-3: Factors of 90352

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

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

Step-4: Factors of 90358

List of positive integer factors of 90358 that divides 90352 without a remainder.

1, 2, 45179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90352 and 90358. The biggest common factor number is the GCF number.
So the greatest common factor 90352 and 90358 is 2.

Also check out the Least Common Multiple of 90352 and 90358