What is the Greatest Common Factor of 69139 and 69146?

Greatest common factor (GCF) of 69139 and 69146 is 7.

GCF(69139,69146) = 7

We will now calculate the prime factors of 69139 and 69146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69139 and 69146.

How to find the GCF of 69139 and 69146?

We will first find the prime factorization of 69139 and 69146. After we will calculate the factors of 69139 and 69146 and find the biggest common factor number .

Step-1: Prime Factorization of 69139

Prime factors of 69139 are 7, 17, 83. Prime factorization of 69139 in exponential form is:

69139 = 7² × 17¹ × 83¹

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 69139

List of positive integer factors of 69139 that divides 69139 without a remainder.

1, 7, 17, 49, 83, 119, 581, 833, 1411, 4067, 9877

Step-4: Factors of 69146

List of positive integer factors of 69146 that divides 69139 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 69139 and 69146. The biggest common factor number is the GCF number.
So the greatest common factor 69139 and 69146 is 7.

Also check out the Least Common Multiple of 69139 and 69146