What is the Greatest Common Factor of 20755 and 20772?

Greatest common factor (GCF) of 20755 and 20772 is 1.

GCF(20755,20772) = 1

We will now calculate the prime factors of 20755 and 20772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20755 and 20772.

How to find the GCF of 20755 and 20772?

We will first find the prime factorization of 20755 and 20772. After we will calculate the factors of 20755 and 20772 and find the biggest common factor number .

Step-1: Prime Factorization of 20755

Prime factors of 20755 are 5, 7, 593. Prime factorization of 20755 in exponential form is:

20755 = 5¹ × 7¹ × 593¹

Step-2: Prime Factorization of 20772

Prime factors of 20772 are 2, 3, 577. Prime factorization of 20772 in exponential form is:

20772 = 2² × 3² × 577¹

Step-3: Factors of 20755

List of positive integer factors of 20755 that divides 20755 without a remainder.

1, 5, 7, 35, 593, 2965, 4151

Step-4: Factors of 20772

List of positive integer factors of 20772 that divides 20755 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 577, 1154, 1731, 2308, 3462, 5193, 6924, 10386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20755 and 20772. The biggest common factor number is the GCF number.
So the greatest common factor 20755 and 20772 is 1.

Also check out the Least Common Multiple of 20755 and 20772