What is the Greatest Common Factor of 20526 and 20537?

Greatest common factor (GCF) of 20526 and 20537 is 11.

GCF(20526,20537) = 11

We will now calculate the prime factors of 20526 and 20537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20526 and 20537.

How to find the GCF of 20526 and 20537?

We will first find the prime factorization of 20526 and 20537. After we will calculate the factors of 20526 and 20537 and find the biggest common factor number .

Step-1: Prime Factorization of 20526

Prime factors of 20526 are 2, 3, 11, 311. Prime factorization of 20526 in exponential form is:

20526 = 2¹ × 3¹ × 11¹ × 311¹

Step-2: Prime Factorization of 20537

Prime factors of 20537 are 11, 1867. Prime factorization of 20537 in exponential form is:

20537 = 11¹ × 1867¹

Step-3: Factors of 20526

List of positive integer factors of 20526 that divides 20526 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 311, 622, 933, 1866, 3421, 6842, 10263

Step-4: Factors of 20537

List of positive integer factors of 20537 that divides 20526 without a remainder.

1, 11, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20526 and 20537. The biggest common factor number is the GCF number.
So the greatest common factor 20526 and 20537 is 11.

Also check out the Least Common Multiple of 20526 and 20537