What is the Greatest Common Factor of 20735 and 20742?

Greatest common factor (GCF) of 20735 and 20742 is 1.

GCF(20735,20742) = 1

We will now calculate the prime factors of 20735 and 20742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20735 and 20742.

How to find the GCF of 20735 and 20742?

We will first find the prime factorization of 20735 and 20742. After we will calculate the factors of 20735 and 20742 and find the biggest common factor number .

Step-1: Prime Factorization of 20735

Prime factors of 20735 are 5, 11, 13, 29. Prime factorization of 20735 in exponential form is:

20735 = 5¹ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 20742

Prime factors of 20742 are 2, 3, 3457. Prime factorization of 20742 in exponential form is:

20742 = 2¹ × 3¹ × 3457¹

Step-3: Factors of 20735

List of positive integer factors of 20735 that divides 20735 without a remainder.

1, 5, 11, 13, 29, 55, 65, 143, 145, 319, 377, 715, 1595, 1885, 4147

Step-4: Factors of 20742

List of positive integer factors of 20742 that divides 20735 without a remainder.

1, 2, 3, 6, 3457, 6914, 10371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20735 and 20742. The biggest common factor number is the GCF number.
So the greatest common factor 20735 and 20742 is 1.

Also check out the Least Common Multiple of 20735 and 20742