What is the Greatest Common Factor of 65172 and 65190?

Greatest common factor (GCF) of 65172 and 65190 is 6.

GCF(65172,65190) = 6

We will now calculate the prime factors of 65172 and 65190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65172 and 65190.

How to find the GCF of 65172 and 65190?

We will first find the prime factorization of 65172 and 65190. After we will calculate the factors of 65172 and 65190 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 65190

Prime factors of 65190 are 2, 3, 5, 41, 53. Prime factorization of 65190 in exponential form is:

65190 = 2¹ × 3¹ × 5¹ × 41¹ × 53¹

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 65190

List of positive integer factors of 65190 that divides 65172 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 53, 82, 106, 123, 159, 205, 246, 265, 318, 410, 530, 615, 795, 1230, 1590, 2173, 4346, 6519, 10865, 13038, 21730, 32595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65172 and 65190. The biggest common factor number is the GCF number.
So the greatest common factor 65172 and 65190 is 6.

Also check out the Least Common Multiple of 65172 and 65190