What is the Greatest Common Factor of 20724 and 20735?

Greatest common factor (GCF) of 20724 and 20735 is 11.

GCF(20724,20735) = 11

We will now calculate the prime factors of 20724 and 20735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20724 and 20735.

How to find the GCF of 20724 and 20735?

We will first find the prime factorization of 20724 and 20735. After we will calculate the factors of 20724 and 20735 and find the biggest common factor number .

Step-1: Prime Factorization of 20724

Prime factors of 20724 are 2, 3, 11, 157. Prime factorization of 20724 in exponential form is:

20724 = 2² × 3¹ × 11¹ × 157¹

Step-2: 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-3: Factors of 20724

List of positive integer factors of 20724 that divides 20724 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 157, 314, 471, 628, 942, 1727, 1884, 3454, 5181, 6908, 10362

Step-4: Factors of 20735

List of positive integer factors of 20735 that divides 20724 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20724 and 20735. The biggest common factor number is the GCF number.
So the greatest common factor 20724 and 20735 is 11.

Also check out the Least Common Multiple of 20724 and 20735