What is the Greatest Common Factor of 20734 and 20747?

Greatest common factor (GCF) of 20734 and 20747 is 1.

GCF(20734,20747) = 1

We will now calculate the prime factors of 20734 and 20747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20734 and 20747.

How to find the GCF of 20734 and 20747?

We will first find the prime factorization of 20734 and 20747. After we will calculate the factors of 20734 and 20747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20747

Prime factors of 20747 are 20747. Prime factorization of 20747 in exponential form is:

20747 = 20747¹

Step-3: Factors of 20734

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

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

Step-4: Factors of 20747

List of positive integer factors of 20747 that divides 20734 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20734 and 20747. The biggest common factor number is the GCF number.
So the greatest common factor 20734 and 20747 is 1.

Also check out the Least Common Multiple of 20734 and 20747