What is the Greatest Common Factor of 32165 and 32172?

Greatest common factor (GCF) of 32165 and 32172 is 7.

GCF(32165,32172) = 7

We will now calculate the prime factors of 32165 and 32172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32165 and 32172.

How to find the GCF of 32165 and 32172?

We will first find the prime factorization of 32165 and 32172. After we will calculate the factors of 32165 and 32172 and find the biggest common factor number .

Step-1: Prime Factorization of 32165

Prime factors of 32165 are 5, 7, 919. Prime factorization of 32165 in exponential form is:

32165 = 5¹ × 7¹ × 919¹

Step-2: Prime Factorization of 32172

Prime factors of 32172 are 2, 3, 7, 383. Prime factorization of 32172 in exponential form is:

32172 = 2² × 3¹ × 7¹ × 383¹

Step-3: Factors of 32165

List of positive integer factors of 32165 that divides 32165 without a remainder.

1, 5, 7, 35, 919, 4595, 6433

Step-4: Factors of 32172

List of positive integer factors of 32172 that divides 32165 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 383, 766, 1149, 1532, 2298, 2681, 4596, 5362, 8043, 10724, 16086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32165 and 32172. The biggest common factor number is the GCF number.
So the greatest common factor 32165 and 32172 is 7.

Also check out the Least Common Multiple of 32165 and 32172