What is the Greatest Common Factor of 46354 and 46366?

Greatest common factor (GCF) of 46354 and 46366 is 2.

GCF(46354,46366) = 2

We will now calculate the prime factors of 46354 and 46366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46354 and 46366.

How to find the GCF of 46354 and 46366?

We will first find the prime factorization of 46354 and 46366. After we will calculate the factors of 46354 and 46366 and find the biggest common factor number .

Step-1: Prime Factorization of 46354

Prime factors of 46354 are 2, 7, 11, 43. Prime factorization of 46354 in exponential form is:

46354 = 2¹ × 7² × 11¹ × 43¹

Step-2: Prime Factorization of 46366

Prime factors of 46366 are 2, 97, 239. Prime factorization of 46366 in exponential form is:

46366 = 2¹ × 97¹ × 239¹

Step-3: Factors of 46354

List of positive integer factors of 46354 that divides 46354 without a remainder.

1, 2, 7, 11, 14, 22, 43, 49, 77, 86, 98, 154, 301, 473, 539, 602, 946, 1078, 2107, 3311, 4214, 6622, 23177

Step-4: Factors of 46366

List of positive integer factors of 46366 that divides 46354 without a remainder.

1, 2, 97, 194, 239, 478, 23183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46354 and 46366. The biggest common factor number is the GCF number.
So the greatest common factor 46354 and 46366 is 2.

Also check out the Least Common Multiple of 46354 and 46366