What is the Greatest Common Factor of 20735 and 20752?

Greatest common factor (GCF) of 20735 and 20752 is 1.

GCF(20735,20752) = 1

We will now calculate the prime factors of 20735 and 20752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20735 and 20752.

How to find the GCF of 20735 and 20752?

We will first find the prime factorization of 20735 and 20752. After we will calculate the factors of 20735 and 20752 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 20752

Prime factors of 20752 are 2, 1297. Prime factorization of 20752 in exponential form is:

20752 = 2⁴ × 1297¹

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 20752

List of positive integer factors of 20752 that divides 20735 without a remainder.

1, 2, 4, 8, 16, 1297, 2594, 5188, 10376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20735 and 20752. The biggest common factor number is the GCF number.
So the greatest common factor 20735 and 20752 is 1.

Also check out the Least Common Multiple of 20735 and 20752