What is the Greatest Common Factor of 51549 and 51567?

Greatest common factor (GCF) of 51549 and 51567 is 3.

GCF(51549,51567) = 3

We will now calculate the prime factors of 51549 and 51567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51549 and 51567.

How to find the GCF of 51549 and 51567?

We will first find the prime factorization of 51549 and 51567. After we will calculate the factors of 51549 and 51567 and find the biggest common factor number .

Step-1: Prime Factorization of 51549

Prime factors of 51549 are 3, 17183. Prime factorization of 51549 in exponential form is:

51549 = 3¹ × 17183¹

Step-2: Prime Factorization of 51567

Prime factors of 51567 are 3, 17189. Prime factorization of 51567 in exponential form is:

51567 = 3¹ × 17189¹

Step-3: Factors of 51549

List of positive integer factors of 51549 that divides 51549 without a remainder.

1, 3, 17183

Step-4: Factors of 51567

List of positive integer factors of 51567 that divides 51549 without a remainder.

1, 3, 17189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51549 and 51567. The biggest common factor number is the GCF number.
So the greatest common factor 51549 and 51567 is 3.

Also check out the Least Common Multiple of 51549 and 51567