What is the Greatest Common Factor of 5548 and 5567?

Greatest common factor (GCF) of 5548 and 5567 is 19.

GCF(5548,5567) = 19

We will now calculate the prime factors of 5548 and 5567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5548 and 5567.

How to find the GCF of 5548 and 5567?

We will first find the prime factorization of 5548 and 5567. After we will calculate the factors of 5548 and 5567 and find the biggest common factor number .

Step-1: Prime Factorization of 5548

Prime factors of 5548 are 2, 19, 73. Prime factorization of 5548 in exponential form is:

5548 = 2² × 19¹ × 73¹

Step-2: Prime Factorization of 5567

Prime factors of 5567 are 19, 293. Prime factorization of 5567 in exponential form is:

5567 = 19¹ × 293¹

Step-3: Factors of 5548

List of positive integer factors of 5548 that divides 5548 without a remainder.

1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774

Step-4: Factors of 5567

List of positive integer factors of 5567 that divides 5548 without a remainder.

1, 19, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5548 and 5567. The biggest common factor number is the GCF number.
So the greatest common factor 5548 and 5567 is 19.

Also check out the Least Common Multiple of 5548 and 5567