What is the Greatest Common Factor of 46172 and 46189?

Greatest common factor (GCF) of 46172 and 46189 is 17.

GCF(46172,46189) = 17

We will now calculate the prime factors of 46172 and 46189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46172 and 46189.

How to find the GCF of 46172 and 46189?

We will first find the prime factorization of 46172 and 46189. After we will calculate the factors of 46172 and 46189 and find the biggest common factor number .

Step-1: Prime Factorization of 46172

Prime factors of 46172 are 2, 7, 17, 97. Prime factorization of 46172 in exponential form is:

46172 = 2² × 7¹ × 17¹ × 97¹

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 46172

List of positive integer factors of 46172 that divides 46172 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 97, 119, 194, 238, 388, 476, 679, 1358, 1649, 2716, 3298, 6596, 11543, 23086

Step-4: Factors of 46189

List of positive integer factors of 46189 that divides 46172 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 46172 and 46189. The biggest common factor number is the GCF number.
So the greatest common factor 46172 and 46189 is 17.

Also check out the Least Common Multiple of 46172 and 46189