What is the Greatest Common Factor of 46189 and 46198?

Greatest common factor (GCF) of 46189 and 46198 is 1.

GCF(46189,46198) = 1

We will now calculate the prime factors of 46189 and 46198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46189 and 46198.

How to find the GCF of 46189 and 46198?

We will first find the prime factorization of 46189 and 46198. After we will calculate the factors of 46189 and 46198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46198

Prime factors of 46198 are 2, 23099. Prime factorization of 46198 in exponential form is:

46198 = 2¹ × 23099¹

Step-3: Factors of 46189

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

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

Step-4: Factors of 46198

List of positive integer factors of 46198 that divides 46189 without a remainder.

1, 2, 23099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46189 and 46198. The biggest common factor number is the GCF number.
So the greatest common factor 46189 and 46198 is 1.

Also check out the Least Common Multiple of 46189 and 46198