What is the Greatest Common Factor of 51294 and 51309?

Greatest common factor (GCF) of 51294 and 51309 is 3.

GCF(51294,51309) = 3

We will now calculate the prime factors of 51294 and 51309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51294 and 51309.

How to find the GCF of 51294 and 51309?

We will first find the prime factorization of 51294 and 51309. After we will calculate the factors of 51294 and 51309 and find the biggest common factor number .

Step-1: Prime Factorization of 51294

Prime factors of 51294 are 2, 3, 83, 103. Prime factorization of 51294 in exponential form is:

51294 = 2¹ × 3¹ × 83¹ × 103¹

Step-2: Prime Factorization of 51309

Prime factors of 51309 are 3, 5701. Prime factorization of 51309 in exponential form is:

51309 = 3² × 5701¹

Step-3: Factors of 51294

List of positive integer factors of 51294 that divides 51294 without a remainder.

1, 2, 3, 6, 83, 103, 166, 206, 249, 309, 498, 618, 8549, 17098, 25647

Step-4: Factors of 51309

List of positive integer factors of 51309 that divides 51294 without a remainder.

1, 3, 9, 5701, 17103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51294 and 51309. The biggest common factor number is the GCF number.
So the greatest common factor 51294 and 51309 is 3.

Also check out the Least Common Multiple of 51294 and 51309