What is the Greatest Common Factor of 69138 and 69146?

Greatest common factor (GCF) of 69138 and 69146 is 2.

GCF(69138,69146) = 2

We will now calculate the prime factors of 69138 and 69146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69138 and 69146.

How to find the GCF of 69138 and 69146?

We will first find the prime factorization of 69138 and 69146. After we will calculate the factors of 69138 and 69146 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 69146

Prime factors of 69146 are 2, 7, 11, 449. Prime factorization of 69146 in exponential form is:

69146 = 2¹ × 7¹ × 11¹ × 449¹

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 69146

List of positive integer factors of 69146 that divides 69138 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 449, 898, 3143, 4939, 6286, 9878, 34573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69138 and 69146. The biggest common factor number is the GCF number.
So the greatest common factor 69138 and 69146 is 2.

Also check out the Least Common Multiple of 69138 and 69146