What is the Greatest Common Factor of 51435 and 51453?

Greatest common factor (GCF) of 51435 and 51453 is 9.

GCF(51435,51453) = 9

We will now calculate the prime factors of 51435 and 51453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51435 and 51453.

How to find the GCF of 51435 and 51453?

We will first find the prime factorization of 51435 and 51453. After we will calculate the factors of 51435 and 51453 and find the biggest common factor number .

Step-1: Prime Factorization of 51435

Prime factors of 51435 are 3, 5, 127. Prime factorization of 51435 in exponential form is:

51435 = 3⁴ × 5¹ × 127¹

Step-2: Prime Factorization of 51453

Prime factors of 51453 are 3, 5717. Prime factorization of 51453 in exponential form is:

51453 = 3² × 5717¹

Step-3: Factors of 51435

List of positive integer factors of 51435 that divides 51435 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 127, 135, 381, 405, 635, 1143, 1905, 3429, 5715, 10287, 17145

Step-4: Factors of 51453

List of positive integer factors of 51453 that divides 51435 without a remainder.

1, 3, 9, 5717, 17151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51435 and 51453. The biggest common factor number is the GCF number.
So the greatest common factor 51435 and 51453 is 9.

Also check out the Least Common Multiple of 51435 and 51453