What is the Greatest Common Factor of 90327 and 90342?

Greatest common factor (GCF) of 90327 and 90342 is 3.

GCF(90327,90342) = 3

We will now calculate the prime factors of 90327 and 90342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90327 and 90342.

How to find the GCF of 90327 and 90342?

We will first find the prime factorization of 90327 and 90342. After we will calculate the factors of 90327 and 90342 and find the biggest common factor number .

Step-1: Prime Factorization of 90327

Prime factors of 90327 are 3, 30109. Prime factorization of 90327 in exponential form is:

90327 = 3¹ × 30109¹

Step-2: Prime Factorization of 90342

Prime factors of 90342 are 2, 3, 7, 239. Prime factorization of 90342 in exponential form is:

90342 = 2¹ × 3³ × 7¹ × 239¹

Step-3: Factors of 90327

List of positive integer factors of 90327 that divides 90327 without a remainder.

1, 3, 30109

Step-4: Factors of 90342

List of positive integer factors of 90342 that divides 90327 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 239, 378, 478, 717, 1434, 1673, 2151, 3346, 4302, 5019, 6453, 10038, 12906, 15057, 30114, 45171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90327 and 90342. The biggest common factor number is the GCF number.
So the greatest common factor 90327 and 90342 is 3.

Also check out the Least Common Multiple of 90327 and 90342