What is the Greatest Common Factor of 29694 and 29708?

Greatest common factor (GCF) of 29694 and 29708 is 14.

GCF(29694,29708) = 14

We will now calculate the prime factors of 29694 and 29708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29694 and 29708.

How to find the GCF of 29694 and 29708?

We will first find the prime factorization of 29694 and 29708. After we will calculate the factors of 29694 and 29708 and find the biggest common factor number .

Step-1: Prime Factorization of 29694

Prime factors of 29694 are 2, 3, 7, 101. Prime factorization of 29694 in exponential form is:

29694 = 2¹ × 3¹ × 7² × 101¹

Step-2: Prime Factorization of 29708

Prime factors of 29708 are 2, 7, 1061. Prime factorization of 29708 in exponential form is:

29708 = 2² × 7¹ × 1061¹

Step-3: Factors of 29694

List of positive integer factors of 29694 that divides 29694 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 101, 147, 202, 294, 303, 606, 707, 1414, 2121, 4242, 4949, 9898, 14847

Step-4: Factors of 29708

List of positive integer factors of 29708 that divides 29694 without a remainder.

1, 2, 4, 7, 14, 28, 1061, 2122, 4244, 7427, 14854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29694 and 29708. The biggest common factor number is the GCF number.
So the greatest common factor 29694 and 29708 is 14.

Also check out the Least Common Multiple of 29694 and 29708