What is the Greatest Common Factor of 20559 and 20573?

Greatest common factor (GCF) of 20559 and 20573 is 7.

GCF(20559,20573) = 7

We will now calculate the prime factors of 20559 and 20573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20559 and 20573.

How to find the GCF of 20559 and 20573?

We will first find the prime factorization of 20559 and 20573. After we will calculate the factors of 20559 and 20573 and find the biggest common factor number .

Step-1: Prime Factorization of 20559

Prime factors of 20559 are 3, 7, 11, 89. Prime factorization of 20559 in exponential form is:

20559 = 3¹ × 7¹ × 11¹ × 89¹

Step-2: Prime Factorization of 20573

Prime factors of 20573 are 7, 2939. Prime factorization of 20573 in exponential form is:

20573 = 7¹ × 2939¹

Step-3: Factors of 20559

List of positive integer factors of 20559 that divides 20559 without a remainder.

1, 3, 7, 11, 21, 33, 77, 89, 231, 267, 623, 979, 1869, 2937, 6853

Step-4: Factors of 20573

List of positive integer factors of 20573 that divides 20559 without a remainder.

1, 7, 2939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20559 and 20573. The biggest common factor number is the GCF number.
So the greatest common factor 20559 and 20573 is 7.

Also check out the Least Common Multiple of 20559 and 20573