What is the Greatest Common Factor of 20747 and 20757?

Greatest common factor (GCF) of 20747 and 20757 is 1.

GCF(20747,20757) = 1

We will now calculate the prime factors of 20747 and 20757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20747 and 20757.

How to find the GCF of 20747 and 20757?

We will first find the prime factorization of 20747 and 20757. After we will calculate the factors of 20747 and 20757 and find the biggest common factor number .

Step-1: Prime Factorization of 20747

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

20747 = 20747¹

Step-2: Prime Factorization of 20757

Prime factors of 20757 are 3, 11, 17, 37. Prime factorization of 20757 in exponential form is:

20757 = 3¹ × 11¹ × 17¹ × 37¹

Step-3: Factors of 20747

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

Step-4: Factors of 20757

List of positive integer factors of 20757 that divides 20747 without a remainder.

1, 3, 11, 17, 33, 37, 51, 111, 187, 407, 561, 629, 1221, 1887, 6919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20747 and 20757. The biggest common factor number is the GCF number.
So the greatest common factor 20747 and 20757 is 1.

Also check out the Least Common Multiple of 20747 and 20757