What is the Greatest Common Factor of 90321 and 90338?

Greatest common factor (GCF) of 90321 and 90338 is 17.

GCF(90321,90338) = 17

We will now calculate the prime factors of 90321 and 90338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90321 and 90338.

How to find the GCF of 90321 and 90338?

We will first find the prime factorization of 90321 and 90338. After we will calculate the factors of 90321 and 90338 and find the biggest common factor number .

Step-1: Prime Factorization of 90321

Prime factors of 90321 are 3, 7, 11, 17, 23. Prime factorization of 90321 in exponential form is:

90321 = 3¹ × 7¹ × 11¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 90321

List of positive integer factors of 90321 that divides 90321 without a remainder.

1, 3, 7, 11, 17, 21, 23, 33, 51, 69, 77, 119, 161, 187, 231, 253, 357, 391, 483, 561, 759, 1173, 1309, 1771, 2737, 3927, 4301, 5313, 8211, 12903, 30107

Step-4: Factors of 90338

List of positive integer factors of 90338 that divides 90321 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90321 and 90338. The biggest common factor number is the GCF number.
So the greatest common factor 90321 and 90338 is 17.

Also check out the Least Common Multiple of 90321 and 90338