What is the Greatest Common Factor of 20714 and 20734?

Greatest common factor (GCF) of 20714 and 20734 is 2.

GCF(20714,20734) = 2

We will now calculate the prime factors of 20714 and 20734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20714 and 20734.

How to find the GCF of 20714 and 20734?

We will first find the prime factorization of 20714 and 20734. After we will calculate the factors of 20714 and 20734 and find the biggest common factor number .

Step-1: Prime Factorization of 20714

Prime factors of 20714 are 2, 10357. Prime factorization of 20714 in exponential form is:

20714 = 2¹ × 10357¹

Step-2: Prime Factorization of 20734

Prime factors of 20734 are 2, 7, 1481. Prime factorization of 20734 in exponential form is:

20734 = 2¹ × 7¹ × 1481¹

Step-3: Factors of 20714

List of positive integer factors of 20714 that divides 20714 without a remainder.

1, 2, 10357

Step-4: Factors of 20734

List of positive integer factors of 20734 that divides 20714 without a remainder.

1, 2, 7, 14, 1481, 2962, 10367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20714 and 20734. The biggest common factor number is the GCF number.
So the greatest common factor 20714 and 20734 is 2.

Also check out the Least Common Multiple of 20714 and 20734