What is the Greatest Common Factor of 20537 and 20548?

Greatest common factor (GCF) of 20537 and 20548 is 11.

GCF(20537,20548) = 11

We will now calculate the prime factors of 20537 and 20548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20537 and 20548.

How to find the GCF of 20537 and 20548?

We will first find the prime factorization of 20537 and 20548. After we will calculate the factors of 20537 and 20548 and find the biggest common factor number .

Step-1: Prime Factorization of 20537

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

20537 = 11¹ × 1867¹

Step-2: Prime Factorization of 20548

Prime factors of 20548 are 2, 11, 467. Prime factorization of 20548 in exponential form is:

20548 = 2² × 11¹ × 467¹

Step-3: Factors of 20537

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

1, 11, 1867

Step-4: Factors of 20548

List of positive integer factors of 20548 that divides 20537 without a remainder.

1, 2, 4, 11, 22, 44, 467, 934, 1868, 5137, 10274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20537 and 20548. The biggest common factor number is the GCF number.
So the greatest common factor 20537 and 20548 is 11.

Also check out the Least Common Multiple of 20537 and 20548