What is the Greatest Common Factor of 51261 and 51275?

Greatest common factor (GCF) of 51261 and 51275 is 7.

GCF(51261,51275) = 7

We will now calculate the prime factors of 51261 and 51275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51261 and 51275.

How to find the GCF of 51261 and 51275?

We will first find the prime factorization of 51261 and 51275. After we will calculate the factors of 51261 and 51275 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 51275

Prime factors of 51275 are 5, 7, 293. Prime factorization of 51275 in exponential form is:

51275 = 5² × 7¹ × 293¹

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 51275

List of positive integer factors of 51275 that divides 51261 without a remainder.

1, 5, 7, 25, 35, 175, 293, 1465, 2051, 7325, 10255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51261 and 51275. The biggest common factor number is the GCF number.
So the greatest common factor 51261 and 51275 is 7.

Also check out the Least Common Multiple of 51261 and 51275