What is the Greatest Common Factor of 90342 and 90354?

Greatest common factor (GCF) of 90342 and 90354 is 6.

GCF(90342,90354) = 6

We will now calculate the prime factors of 90342 and 90354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90342 and 90354.

How to find the GCF of 90342 and 90354?

We will first find the prime factorization of 90342 and 90354. After we will calculate the factors of 90342 and 90354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90354

Prime factors of 90354 are 2, 3, 11, 37. Prime factorization of 90354 in exponential form is:

90354 = 2¹ × 3¹ × 11¹ × 37²

Step-3: Factors of 90342

List of positive integer factors of 90342 that divides 90342 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

Step-4: Factors of 90354

List of positive integer factors of 90354 that divides 90342 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 1369, 2442, 2738, 4107, 8214, 15059, 30118, 45177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90342 and 90354. The biggest common factor number is the GCF number.
So the greatest common factor 90342 and 90354 is 6.

Also check out the Least Common Multiple of 90342 and 90354