What is the Greatest Common Factor of 69381 and 69394?

Greatest common factor (GCF) of 69381 and 69394 is 13.

GCF(69381,69394) = 13

We will now calculate the prime factors of 69381 and 69394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69381 and 69394.

How to find the GCF of 69381 and 69394?

We will first find the prime factorization of 69381 and 69394. After we will calculate the factors of 69381 and 69394 and find the biggest common factor number .

Step-1: Prime Factorization of 69381

Prime factors of 69381 are 3, 13, 593. Prime factorization of 69381 in exponential form is:

69381 = 3² × 13¹ × 593¹

Step-2: Prime Factorization of 69394

Prime factors of 69394 are 2, 13, 17, 157. Prime factorization of 69394 in exponential form is:

69394 = 2¹ × 13¹ × 17¹ × 157¹

Step-3: Factors of 69381

List of positive integer factors of 69381 that divides 69381 without a remainder.

1, 3, 9, 13, 39, 117, 593, 1779, 5337, 7709, 23127

Step-4: Factors of 69394

List of positive integer factors of 69394 that divides 69381 without a remainder.

1, 2, 13, 17, 26, 34, 157, 221, 314, 442, 2041, 2669, 4082, 5338, 34697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69381 and 69394. The biggest common factor number is the GCF number.
So the greatest common factor 69381 and 69394 is 13.

Also check out the Least Common Multiple of 69381 and 69394