What is the Greatest Common Factor of 69159 and 69174?

Greatest common factor (GCF) of 69159 and 69174 is 3.

GCF(69159,69174) = 3

We will now calculate the prime factors of 69159 and 69174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69159 and 69174.

How to find the GCF of 69159 and 69174?

We will first find the prime factorization of 69159 and 69174. After we will calculate the factors of 69159 and 69174 and find the biggest common factor number .

Step-1: Prime Factorization of 69159

Prime factors of 69159 are 3, 23053. Prime factorization of 69159 in exponential form is:

69159 = 3¹ × 23053¹

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 69159

List of positive integer factors of 69159 that divides 69159 without a remainder.

1, 3, 23053

Step-4: Factors of 69174

List of positive integer factors of 69174 that divides 69159 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 69159 and 69174. The biggest common factor number is the GCF number.
So the greatest common factor 69159 and 69174 is 3.

Also check out the Least Common Multiple of 69159 and 69174