What is the Greatest Common Factor of 69138 and 69149?

Greatest common factor (GCF) of 69138 and 69149 is 1.

GCF(69138,69149) = 1

We will now calculate the prime factors of 69138 and 69149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69138 and 69149.

How to find the GCF of 69138 and 69149?

We will first find the prime factorization of 69138 and 69149. After we will calculate the factors of 69138 and 69149 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69149

Prime factors of 69149 are 69149. Prime factorization of 69149 in exponential form is:

69149 = 69149¹

Step-3: Factors of 69138

List of positive integer factors of 69138 that divides 69138 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

Step-4: Factors of 69149

List of positive integer factors of 69149 that divides 69138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69138 and 69149. The biggest common factor number is the GCF number.
So the greatest common factor 69138 and 69149 is 1.

Also check out the Least Common Multiple of 69138 and 69149