What is the Greatest Common Factor of 51285 and 51298?

Greatest common factor (GCF) of 51285 and 51298 is 13.

GCF(51285,51298) = 13

We will now calculate the prime factors of 51285 and 51298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51285 and 51298.

How to find the GCF of 51285 and 51298?

We will first find the prime factorization of 51285 and 51298. After we will calculate the factors of 51285 and 51298 and find the biggest common factor number .

Step-1: Prime Factorization of 51285

Prime factors of 51285 are 3, 5, 13, 263. Prime factorization of 51285 in exponential form is:

51285 = 3¹ × 5¹ × 13¹ × 263¹

Step-2: Prime Factorization of 51298

Prime factors of 51298 are 2, 13, 1973. Prime factorization of 51298 in exponential form is:

51298 = 2¹ × 13¹ × 1973¹

Step-3: Factors of 51285

List of positive integer factors of 51285 that divides 51285 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 263, 789, 1315, 3419, 3945, 10257, 17095

Step-4: Factors of 51298

List of positive integer factors of 51298 that divides 51285 without a remainder.

1, 2, 13, 26, 1973, 3946, 25649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51285 and 51298. The biggest common factor number is the GCF number.
So the greatest common factor 51285 and 51298 is 13.

Also check out the Least Common Multiple of 51285 and 51298