What is the Greatest Common Factor of 51261 and 51267?

Greatest common factor (GCF) of 51261 and 51267 is 3.

GCF(51261,51267) = 3

We will now calculate the prime factors of 51261 and 51267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51261 and 51267.

How to find the GCF of 51261 and 51267?

We will first find the prime factorization of 51261 and 51267. After we will calculate the factors of 51261 and 51267 and find the biggest common factor number .

Step-1: Prime Factorization of 51261

Prime factors of 51261 are 3, 7, 2441. Prime factorization of 51261 in exponential form is:

51261 = 3¹ × 7¹ × 2441¹

Step-2: Prime Factorization of 51267

Prime factors of 51267 are 3, 23, 743. Prime factorization of 51267 in exponential form is:

51267 = 3¹ × 23¹ × 743¹

Step-3: Factors of 51261

List of positive integer factors of 51261 that divides 51261 without a remainder.

1, 3, 7, 21, 2441, 7323, 17087

Step-4: Factors of 51267

List of positive integer factors of 51267 that divides 51261 without a remainder.

1, 3, 23, 69, 743, 2229, 17089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51261 and 51267. The biggest common factor number is the GCF number.
So the greatest common factor 51261 and 51267 is 3.

Also check out the Least Common Multiple of 51261 and 51267