What is the Greatest Common Factor of 22694 and 22708?

Greatest common factor (GCF) of 22694 and 22708 is 14.

GCF(22694,22708) = 14

We will now calculate the prime factors of 22694 and 22708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22694 and 22708.

How to find the GCF of 22694 and 22708?

We will first find the prime factorization of 22694 and 22708. After we will calculate the factors of 22694 and 22708 and find the biggest common factor number .

Step-1: Prime Factorization of 22694

Prime factors of 22694 are 2, 7, 1621. Prime factorization of 22694 in exponential form is:

22694 = 2¹ × 7¹ × 1621¹

Step-2: Prime Factorization of 22708

Prime factors of 22708 are 2, 7, 811. Prime factorization of 22708 in exponential form is:

22708 = 2² × 7¹ × 811¹

Step-3: Factors of 22694

List of positive integer factors of 22694 that divides 22694 without a remainder.

1, 2, 7, 14, 1621, 3242, 11347

Step-4: Factors of 22708

List of positive integer factors of 22708 that divides 22694 without a remainder.

1, 2, 4, 7, 14, 28, 811, 1622, 3244, 5677, 11354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22694 and 22708. The biggest common factor number is the GCF number.
So the greatest common factor 22694 and 22708 is 14.

Also check out the Least Common Multiple of 22694 and 22708