What is the Greatest Common Factor of 51442 and 51459?

Greatest common factor (GCF) of 51442 and 51459 is 17.

GCF(51442,51459) = 17

We will now calculate the prime factors of 51442 and 51459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51442 and 51459.

How to find the GCF of 51442 and 51459?

We will first find the prime factorization of 51442 and 51459. After we will calculate the factors of 51442 and 51459 and find the biggest common factor number .

Step-1: Prime Factorization of 51442

Prime factors of 51442 are 2, 17, 89. Prime factorization of 51442 in exponential form is:

51442 = 2¹ × 17² × 89¹

Step-2: Prime Factorization of 51459

Prime factors of 51459 are 3, 17, 1009. Prime factorization of 51459 in exponential form is:

51459 = 3¹ × 17¹ × 1009¹

Step-3: Factors of 51442

List of positive integer factors of 51442 that divides 51442 without a remainder.

1, 2, 17, 34, 89, 178, 289, 578, 1513, 3026, 25721

Step-4: Factors of 51459

List of positive integer factors of 51459 that divides 51442 without a remainder.

1, 3, 17, 51, 1009, 3027, 17153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51442 and 51459. The biggest common factor number is the GCF number.
So the greatest common factor 51442 and 51459 is 17.

Also check out the Least Common Multiple of 51442 and 51459