What is the Greatest Common Factor of 69054 and 69071?

Greatest common factor (GCF) of 69054 and 69071 is 17.

GCF(69054,69071) = 17

We will now calculate the prime factors of 69054 and 69071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69054 and 69071.

How to find the GCF of 69054 and 69071?

We will first find the prime factorization of 69054 and 69071. After we will calculate the factors of 69054 and 69071 and find the biggest common factor number .

Step-1: Prime Factorization of 69054

Prime factors of 69054 are 2, 3, 17, 677. Prime factorization of 69054 in exponential form is:

69054 = 2¹ × 3¹ × 17¹ × 677¹

Step-2: Prime Factorization of 69071

Prime factors of 69071 are 17, 239. Prime factorization of 69071 in exponential form is:

69071 = 17² × 239¹

Step-3: Factors of 69054

List of positive integer factors of 69054 that divides 69054 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 677, 1354, 2031, 4062, 11509, 23018, 34527

Step-4: Factors of 69071

List of positive integer factors of 69071 that divides 69054 without a remainder.

1, 17, 239, 289, 4063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69054 and 69071. The biggest common factor number is the GCF number.
So the greatest common factor 69054 and 69071 is 17.

Also check out the Least Common Multiple of 69054 and 69071