What is the Greatest Common Factor of 51030 and 51036?

Greatest common factor (GCF) of 51030 and 51036 is 6.

GCF(51030,51036) = 6

We will now calculate the prime factors of 51030 and 51036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51030 and 51036.

How to find the GCF of 51030 and 51036?

We will first find the prime factorization of 51030 and 51036. After we will calculate the factors of 51030 and 51036 and find the biggest common factor number .

Step-1: Prime Factorization of 51030

Prime factors of 51030 are 2, 3, 5, 7. Prime factorization of 51030 in exponential form is:

51030 = 2¹ × 3⁶ × 5¹ × 7¹

Step-2: Prime Factorization of 51036

Prime factors of 51036 are 2, 3, 4253. Prime factorization of 51036 in exponential form is:

51036 = 2² × 3¹ × 4253¹

Step-3: Factors of 51030

List of positive integer factors of 51030 that divides 51030 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 243, 270, 315, 378, 405, 486, 567, 630, 729, 810, 945, 1134, 1215, 1458, 1701, 1890, 2430, 2835, 3402, 3645, 5103, 5670, 7290, 8505, 10206, 17010, 25515

Step-4: Factors of 51036

List of positive integer factors of 51036 that divides 51030 without a remainder.

1, 2, 3, 4, 6, 12, 4253, 8506, 12759, 17012, 25518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51030 and 51036. The biggest common factor number is the GCF number.
So the greatest common factor 51030 and 51036 is 6.

Also check out the Least Common Multiple of 51030 and 51036