What is the Greatest Common Factor of 29694 and 29710?

Greatest common factor (GCF) of 29694 and 29710 is 2.

GCF(29694,29710) = 2

We will now calculate the prime factors of 29694 and 29710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29694 and 29710.

How to find the GCF of 29694 and 29710?

We will first find the prime factorization of 29694 and 29710. After we will calculate the factors of 29694 and 29710 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 29710

Prime factors of 29710 are 2, 5, 2971. Prime factorization of 29710 in exponential form is:

29710 = 2¹ × 5¹ × 2971¹

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 29710

List of positive integer factors of 29710 that divides 29694 without a remainder.

1, 2, 5, 10, 2971, 5942, 14855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29694 and 29710. The biggest common factor number is the GCF number.
So the greatest common factor 29694 and 29710 is 2.

Also check out the Least Common Multiple of 29694 and 29710