What is the Greatest Common Factor of 69165 and 69174?

Greatest common factor (GCF) of 69165 and 69174 is 9.

GCF(69165,69174) = 9

We will now calculate the prime factors of 69165 and 69174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69165 and 69174.

How to find the GCF of 69165 and 69174?

We will first find the prime factorization of 69165 and 69174. After we will calculate the factors of 69165 and 69174 and find the biggest common factor number .

Step-1: Prime Factorization of 69165

Prime factors of 69165 are 3, 5, 29, 53. Prime factorization of 69165 in exponential form is:

69165 = 3² × 5¹ × 29¹ × 53¹

Step-2: Prime Factorization of 69174

Prime factors of 69174 are 2, 3, 7, 61. Prime factorization of 69174 in exponential form is:

69174 = 2¹ × 3⁴ × 7¹ × 61¹

Step-3: Factors of 69165

List of positive integer factors of 69165 that divides 69165 without a remainder.

1, 3, 5, 9, 15, 29, 45, 53, 87, 145, 159, 261, 265, 435, 477, 795, 1305, 1537, 2385, 4611, 7685, 13833, 23055

Step-4: Factors of 69174

List of positive integer factors of 69174 that divides 69165 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 61, 63, 81, 122, 126, 162, 183, 189, 366, 378, 427, 549, 567, 854, 1098, 1134, 1281, 1647, 2562, 3294, 3843, 4941, 7686, 9882, 11529, 23058, 34587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69165 and 69174. The biggest common factor number is the GCF number.
So the greatest common factor 69165 and 69174 is 9.

Also check out the Least Common Multiple of 69165 and 69174