What is the Greatest Common Factor of 46178 and 46189?

Greatest common factor (GCF) of 46178 and 46189 is 11.

GCF(46178,46189) = 11

We will now calculate the prime factors of 46178 and 46189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46178 and 46189.

How to find the GCF of 46178 and 46189?

We will first find the prime factorization of 46178 and 46189. After we will calculate the factors of 46178 and 46189 and find the biggest common factor number .

Step-1: Prime Factorization of 46178

Prime factors of 46178 are 2, 11, 2099. Prime factorization of 46178 in exponential form is:

46178 = 2¹ × 11¹ × 2099¹

Step-2: Prime Factorization of 46189

Prime factors of 46189 are 11, 13, 17, 19. Prime factorization of 46189 in exponential form is:

46189 = 11¹ × 13¹ × 17¹ × 19¹

Step-3: Factors of 46178

List of positive integer factors of 46178 that divides 46178 without a remainder.

1, 2, 11, 22, 2099, 4198, 23089

Step-4: Factors of 46189

List of positive integer factors of 46189 that divides 46178 without a remainder.

1, 11, 13, 17, 19, 143, 187, 209, 221, 247, 323, 2431, 2717, 3553, 4199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46178 and 46189. The biggest common factor number is the GCF number.
So the greatest common factor 46178 and 46189 is 11.

Also check out the Least Common Multiple of 46178 and 46189