What is the Greatest Common Factor of 51555 and 51569?

Greatest common factor (GCF) of 51555 and 51569 is 7.

GCF(51555,51569) = 7

We will now calculate the prime factors of 51555 and 51569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51555 and 51569.

How to find the GCF of 51555 and 51569?

We will first find the prime factorization of 51555 and 51569. After we will calculate the factors of 51555 and 51569 and find the biggest common factor number .

Step-1: Prime Factorization of 51555

Prime factors of 51555 are 3, 5, 7, 491. Prime factorization of 51555 in exponential form is:

51555 = 3¹ × 5¹ × 7¹ × 491¹

Step-2: Prime Factorization of 51569

Prime factors of 51569 are 7, 53, 139. Prime factorization of 51569 in exponential form is:

51569 = 7¹ × 53¹ × 139¹

Step-3: Factors of 51555

List of positive integer factors of 51555 that divides 51555 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 491, 1473, 2455, 3437, 7365, 10311, 17185

Step-4: Factors of 51569

List of positive integer factors of 51569 that divides 51555 without a remainder.

1, 7, 53, 139, 371, 973, 7367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51555 and 51569. The biggest common factor number is the GCF number.
So the greatest common factor 51555 and 51569 is 7.

Also check out the Least Common Multiple of 51555 and 51569