What is the Greatest Common Factor of 46189 and 46201?

Greatest common factor (GCF) of 46189 and 46201 is 1.

GCF(46189,46201) = 1

We will now calculate the prime factors of 46189 and 46201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46189 and 46201.

How to find the GCF of 46189 and 46201?

We will first find the prime factorization of 46189 and 46201. After we will calculate the factors of 46189 and 46201 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 46201

Prime factors of 46201 are 47, 983. Prime factorization of 46201 in exponential form is:

46201 = 47¹ × 983¹

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 46201

List of positive integer factors of 46201 that divides 46189 without a remainder.

1, 47, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46189 and 46201. The biggest common factor number is the GCF number.
So the greatest common factor 46189 and 46201 is 1.

Also check out the Least Common Multiple of 46189 and 46201