What is the Greatest Common Factor of 20738 and 20746?

Greatest common factor (GCF) of 20738 and 20746 is 2.

GCF(20738,20746) = 2

We will now calculate the prime factors of 20738 and 20746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20738 and 20746.

How to find the GCF of 20738 and 20746?

We will first find the prime factorization of 20738 and 20746. After we will calculate the factors of 20738 and 20746 and find the biggest common factor number .

Step-1: Prime Factorization of 20738

Prime factors of 20738 are 2, 10369. Prime factorization of 20738 in exponential form is:

20738 = 2¹ × 10369¹

Step-2: 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-3: Factors of 20738

List of positive integer factors of 20738 that divides 20738 without a remainder.

1, 2, 10369

Step-4: Factors of 20746

List of positive integer factors of 20746 that divides 20738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20738 and 20746. The biggest common factor number is the GCF number.
So the greatest common factor 20738 and 20746 is 2.

Also check out the Least Common Multiple of 20738 and 20746