What is the Greatest Common Factor of 29714 and 29734?

Greatest common factor (GCF) of 29714 and 29734 is 2.

GCF(29714,29734) = 2

We will now calculate the prime factors of 29714 and 29734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29714 and 29734.

How to find the GCF of 29714 and 29734?

We will first find the prime factorization of 29714 and 29734. After we will calculate the factors of 29714 and 29734 and find the biggest common factor number .

Step-1: Prime Factorization of 29714

Prime factors of 29714 are 2, 83, 179. Prime factorization of 29714 in exponential form is:

29714 = 2¹ × 83¹ × 179¹

Step-2: Prime Factorization of 29734

Prime factors of 29734 are 2, 14867. Prime factorization of 29734 in exponential form is:

29734 = 2¹ × 14867¹

Step-3: Factors of 29714

List of positive integer factors of 29714 that divides 29714 without a remainder.

1, 2, 83, 166, 179, 358, 14857

Step-4: Factors of 29734

List of positive integer factors of 29734 that divides 29714 without a remainder.

1, 2, 14867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29714 and 29734. The biggest common factor number is the GCF number.
So the greatest common factor 29714 and 29734 is 2.

Also check out the Least Common Multiple of 29714 and 29734