What is the Greatest Common Factor of 69123 and 69138?

Greatest common factor (GCF) of 69123 and 69138 is 3.

GCF(69123,69138) = 3

We will now calculate the prime factors of 69123 and 69138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69123 and 69138.

How to find the GCF of 69123 and 69138?

We will first find the prime factorization of 69123 and 69138. After we will calculate the factors of 69123 and 69138 and find the biggest common factor number .

Step-1: Prime Factorization of 69123

Prime factors of 69123 are 3, 23041. Prime factorization of 69123 in exponential form is:

69123 = 3¹ × 23041¹

Step-2: Prime Factorization of 69138

Prime factors of 69138 are 2, 3, 23, 167. Prime factorization of 69138 in exponential form is:

69138 = 2¹ × 3² × 23¹ × 167¹

Step-3: Factors of 69123

List of positive integer factors of 69123 that divides 69123 without a remainder.

1, 3, 23041

Step-4: Factors of 69138

List of positive integer factors of 69138 that divides 69123 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 167, 207, 334, 414, 501, 1002, 1503, 3006, 3841, 7682, 11523, 23046, 34569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69123 and 69138. The biggest common factor number is the GCF number.
So the greatest common factor 69123 and 69138 is 3.

Also check out the Least Common Multiple of 69123 and 69138