What is the Greatest Common Factor of 90335 and 90342?

Greatest common factor (GCF) of 90335 and 90342 is 7.

GCF(90335,90342) = 7

We will now calculate the prime factors of 90335 and 90342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90335 and 90342.

How to find the GCF of 90335 and 90342?

We will first find the prime factorization of 90335 and 90342. After we will calculate the factors of 90335 and 90342 and find the biggest common factor number .

Step-1: Prime Factorization of 90335

Prime factors of 90335 are 5, 7, 29, 89. Prime factorization of 90335 in exponential form is:

90335 = 5¹ × 7¹ × 29¹ × 89¹

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 90335

List of positive integer factors of 90335 that divides 90335 without a remainder.

1, 5, 7, 29, 35, 89, 145, 203, 445, 623, 1015, 2581, 3115, 12905, 18067

Step-4: Factors of 90342

List of positive integer factors of 90342 that divides 90335 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 90335 and 90342. The biggest common factor number is the GCF number.
So the greatest common factor 90335 and 90342 is 7.

Also check out the Least Common Multiple of 90335 and 90342