What is the Greatest Common Factor of 51545 and 51558?

Greatest common factor (GCF) of 51545 and 51558 is 13.

GCF(51545,51558) = 13

We will now calculate the prime factors of 51545 and 51558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51545 and 51558.

How to find the GCF of 51545 and 51558?

We will first find the prime factorization of 51545 and 51558. After we will calculate the factors of 51545 and 51558 and find the biggest common factor number .

Step-1: Prime Factorization of 51545

Prime factors of 51545 are 5, 13, 61. Prime factorization of 51545 in exponential form is:

51545 = 5¹ × 13² × 61¹

Step-2: Prime Factorization of 51558

Prime factors of 51558 are 2, 3, 13, 661. Prime factorization of 51558 in exponential form is:

51558 = 2¹ × 3¹ × 13¹ × 661¹

Step-3: Factors of 51545

List of positive integer factors of 51545 that divides 51545 without a remainder.

1, 5, 13, 61, 65, 169, 305, 793, 845, 3965, 10309

Step-4: Factors of 51558

List of positive integer factors of 51558 that divides 51545 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 661, 1322, 1983, 3966, 8593, 17186, 25779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51545 and 51558. The biggest common factor number is the GCF number.
So the greatest common factor 51545 and 51558 is 13.

Also check out the Least Common Multiple of 51545 and 51558