What is the Greatest Common Factor of 90338 and 90352?

Greatest common factor (GCF) of 90338 and 90352 is 2.

GCF(90338,90352) = 2

We will now calculate the prime factors of 90338 and 90352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90338 and 90352.

How to find the GCF of 90338 and 90352?

We will first find the prime factorization of 90338 and 90352. After we will calculate the factors of 90338 and 90352 and find the biggest common factor number .

Step-1: Prime Factorization of 90338

Prime factors of 90338 are 2, 17, 2657. Prime factorization of 90338 in exponential form is:

90338 = 2¹ × 17¹ × 2657¹

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 90338

List of positive integer factors of 90338 that divides 90338 without a remainder.

1, 2, 17, 34, 2657, 5314, 45169

Step-4: Factors of 90352

List of positive integer factors of 90352 that divides 90338 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 90338 and 90352. The biggest common factor number is the GCF number.
So the greatest common factor 90338 and 90352 is 2.

Also check out the Least Common Multiple of 90338 and 90352