What is the Greatest Common Factor of 68994 and 69014?

Greatest common factor (GCF) of 68994 and 69014 is 2.

GCF(68994,69014) = 2

We will now calculate the prime factors of 68994 and 69014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68994 and 69014.

How to find the GCF of 68994 and 69014?

We will first find the prime factorization of 68994 and 69014. After we will calculate the factors of 68994 and 69014 and find the biggest common factor number .

Step-1: Prime Factorization of 68994

Prime factors of 68994 are 2, 3, 3833. Prime factorization of 68994 in exponential form is:

68994 = 2¹ × 3² × 3833¹

Step-2: Prime Factorization of 69014

Prime factors of 69014 are 2, 11, 3137. Prime factorization of 69014 in exponential form is:

69014 = 2¹ × 11¹ × 3137¹

Step-3: Factors of 68994

List of positive integer factors of 68994 that divides 68994 without a remainder.

1, 2, 3, 6, 9, 18, 3833, 7666, 11499, 22998, 34497

Step-4: Factors of 69014

List of positive integer factors of 69014 that divides 68994 without a remainder.

1, 2, 11, 22, 3137, 6274, 34507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68994 and 69014. The biggest common factor number is the GCF number.
So the greatest common factor 68994 and 69014 is 2.

Also check out the Least Common Multiple of 68994 and 69014