What is the Greatest Common Factor of 65172 and 65181?

Greatest common factor (GCF) of 65172 and 65181 is 3.

GCF(65172,65181) = 3

We will now calculate the prime factors of 65172 and 65181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65172 and 65181.

How to find the GCF of 65172 and 65181?

We will first find the prime factorization of 65172 and 65181. After we will calculate the factors of 65172 and 65181 and find the biggest common factor number .

Step-1: Prime Factorization of 65172

Prime factors of 65172 are 2, 3, 5431. Prime factorization of 65172 in exponential form is:

65172 = 2² × 3¹ × 5431¹

Step-2: Prime Factorization of 65181

Prime factors of 65181 are 3, 21727. Prime factorization of 65181 in exponential form is:

65181 = 3¹ × 21727¹

Step-3: Factors of 65172

List of positive integer factors of 65172 that divides 65172 without a remainder.

1, 2, 3, 4, 6, 12, 5431, 10862, 16293, 21724, 32586

Step-4: Factors of 65181

List of positive integer factors of 65181 that divides 65172 without a remainder.

1, 3, 21727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65172 and 65181. The biggest common factor number is the GCF number.
So the greatest common factor 65172 and 65181 is 3.

Also check out the Least Common Multiple of 65172 and 65181