What is the Greatest Common Factor of 20548 and 20567?

Greatest common factor (GCF) of 20548 and 20567 is 1.

GCF(20548,20567) = 1

We will now calculate the prime factors of 20548 and 20567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20548 and 20567.

How to find the GCF of 20548 and 20567?

We will first find the prime factorization of 20548 and 20567. After we will calculate the factors of 20548 and 20567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20567

Prime factors of 20567 are 131, 157. Prime factorization of 20567 in exponential form is:

20567 = 131¹ × 157¹

Step-3: Factors of 20548

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

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

Step-4: Factors of 20567

List of positive integer factors of 20567 that divides 20548 without a remainder.

1, 131, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20548 and 20567. The biggest common factor number is the GCF number.
So the greatest common factor 20548 and 20567 is 1.

Also check out the Least Common Multiple of 20548 and 20567