What is the Greatest Common Factor of 46386 and 46398?

Greatest common factor (GCF) of 46386 and 46398 is 6.

GCF(46386,46398) = 6

We will now calculate the prime factors of 46386 and 46398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46386 and 46398.

How to find the GCF of 46386 and 46398?

We will first find the prime factorization of 46386 and 46398. After we will calculate the factors of 46386 and 46398 and find the biggest common factor number .

Step-1: Prime Factorization of 46386

Prime factors of 46386 are 2, 3, 859. Prime factorization of 46386 in exponential form is:

46386 = 2¹ × 3³ × 859¹

Step-2: Prime Factorization of 46398

Prime factors of 46398 are 2, 3, 11, 19, 37. Prime factorization of 46398 in exponential form is:

46398 = 2¹ × 3¹ × 11¹ × 19¹ × 37¹

Step-3: Factors of 46386

List of positive integer factors of 46386 that divides 46386 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 859, 1718, 2577, 5154, 7731, 15462, 23193

Step-4: Factors of 46398

List of positive integer factors of 46398 that divides 46386 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 37, 38, 57, 66, 74, 111, 114, 209, 222, 407, 418, 627, 703, 814, 1221, 1254, 1406, 2109, 2442, 4218, 7733, 15466, 23199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46386 and 46398. The biggest common factor number is the GCF number.
So the greatest common factor 46386 and 46398 is 6.

Also check out the Least Common Multiple of 46386 and 46398