What is the Greatest Common Factor of 89342 and 89346?

Greatest common factor (GCF) of 89342 and 89346 is 2.

GCF(89342,89346) = 2

We will now calculate the prime factors of 89342 and 89346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89342 and 89346.

How to find the GCF of 89342 and 89346?

We will first find the prime factorization of 89342 and 89346. After we will calculate the factors of 89342 and 89346 and find the biggest common factor number .

Step-1: Prime Factorization of 89342

Prime factors of 89342 are 2, 11, 31, 131. Prime factorization of 89342 in exponential form is:

89342 = 2¹ × 11¹ × 31¹ × 131¹

Step-2: Prime Factorization of 89346

Prime factors of 89346 are 2, 3, 14891. Prime factorization of 89346 in exponential form is:

89346 = 2¹ × 3¹ × 14891¹

Step-3: Factors of 89342

List of positive integer factors of 89342 that divides 89342 without a remainder.

1, 2, 11, 22, 31, 62, 131, 262, 341, 682, 1441, 2882, 4061, 8122, 44671

Step-4: Factors of 89346

List of positive integer factors of 89346 that divides 89342 without a remainder.

1, 2, 3, 6, 14891, 29782, 44673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89342 and 89346. The biggest common factor number is the GCF number.
So the greatest common factor 89342 and 89346 is 2.

Also check out the Least Common Multiple of 89342 and 89346