What is the Greatest Common Factor of 46189 and 46207?

Greatest common factor (GCF) of 46189 and 46207 is 1.

GCF(46189,46207) = 1

We will now calculate the prime factors of 46189 and 46207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46189 and 46207.

How to find the GCF of 46189 and 46207?

We will first find the prime factorization of 46189 and 46207. After we will calculate the factors of 46189 and 46207 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 46207

Prime factors of 46207 are 7, 23, 41. Prime factorization of 46207 in exponential form is:

46207 = 7² × 23¹ × 41¹

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 46207

List of positive integer factors of 46207 that divides 46189 without a remainder.

1, 7, 23, 41, 49, 161, 287, 943, 1127, 2009, 6601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46189 and 46207. The biggest common factor number is the GCF number.
So the greatest common factor 46189 and 46207 is 1.

Also check out the Least Common Multiple of 46189 and 46207