What is the Greatest Common Factor of 20746 and 20765?

Greatest common factor (GCF) of 20746 and 20765 is 1.

GCF(20746,20765) = 1

We will now calculate the prime factors of 20746 and 20765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20746 and 20765.

How to find the GCF of 20746 and 20765?

We will first find the prime factorization of 20746 and 20765. After we will calculate the factors of 20746 and 20765 and find the biggest common factor number .

Step-1: Prime Factorization of 20746

Prime factors of 20746 are 2, 11, 23, 41. Prime factorization of 20746 in exponential form is:

20746 = 2¹ × 11¹ × 23¹ × 41¹

Step-2: Prime Factorization of 20765

Prime factors of 20765 are 5, 4153. Prime factorization of 20765 in exponential form is:

20765 = 5¹ × 4153¹

Step-3: Factors of 20746

List of positive integer factors of 20746 that divides 20746 without a remainder.

1, 2, 11, 22, 23, 41, 46, 82, 253, 451, 506, 902, 943, 1886, 10373

Step-4: Factors of 20765

List of positive integer factors of 20765 that divides 20746 without a remainder.

1, 5, 4153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20746 and 20765. The biggest common factor number is the GCF number.
So the greatest common factor 20746 and 20765 is 1.

Also check out the Least Common Multiple of 20746 and 20765