What is the Greatest Common Factor of 69162 and 69174?

Greatest common factor (GCF) of 69162 and 69174 is 6.

GCF(69162,69174) = 6

We will now calculate the prime factors of 69162 and 69174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69162 and 69174.

How to find the GCF of 69162 and 69174?

We will first find the prime factorization of 69162 and 69174. After we will calculate the factors of 69162 and 69174 and find the biggest common factor number .

Step-1: Prime Factorization of 69162

Prime factors of 69162 are 2, 3, 11527. Prime factorization of 69162 in exponential form is:

69162 = 2¹ × 3¹ × 11527¹

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 69162

List of positive integer factors of 69162 that divides 69162 without a remainder.

1, 2, 3, 6, 11527, 23054, 34581

Step-4: Factors of 69174

List of positive integer factors of 69174 that divides 69162 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 69162 and 69174. The biggest common factor number is the GCF number.
So the greatest common factor 69162 and 69174 is 6.

Also check out the Least Common Multiple of 69162 and 69174