What is the Greatest Common Factor of 51030 and 51042?

Greatest common factor (GCF) of 51030 and 51042 is 6.

GCF(51030,51042) = 6

We will now calculate the prime factors of 51030 and 51042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51030 and 51042.

How to find the GCF of 51030 and 51042?

We will first find the prime factorization of 51030 and 51042. After we will calculate the factors of 51030 and 51042 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 51042

Prime factors of 51042 are 2, 3, 47, 181. Prime factorization of 51042 in exponential form is:

51042 = 2¹ × 3¹ × 47¹ × 181¹

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 51042

List of positive integer factors of 51042 that divides 51030 without a remainder.

1, 2, 3, 6, 47, 94, 141, 181, 282, 362, 543, 1086, 8507, 17014, 25521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51030 and 51042. The biggest common factor number is the GCF number.
So the greatest common factor 51030 and 51042 is 6.

Also check out the Least Common Multiple of 51030 and 51042