What is the Greatest Common Factor of 51023 and 51030?

Greatest common factor (GCF) of 51023 and 51030 is 7.

GCF(51023,51030) = 7

We will now calculate the prime factors of 51023 and 51030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51023 and 51030.

How to find the GCF of 51023 and 51030?

We will first find the prime factorization of 51023 and 51030. After we will calculate the factors of 51023 and 51030 and find the biggest common factor number .

Step-1: Prime Factorization of 51023

Prime factors of 51023 are 7, 37, 197. Prime factorization of 51023 in exponential form is:

51023 = 7¹ × 37¹ × 197¹

Step-2: 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-3: Factors of 51023

List of positive integer factors of 51023 that divides 51023 without a remainder.

1, 7, 37, 197, 259, 1379, 7289

Step-4: Factors of 51030

List of positive integer factors of 51030 that divides 51023 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51023 and 51030. The biggest common factor number is the GCF number.
So the greatest common factor 51023 and 51030 is 7.

Also check out the Least Common Multiple of 51023 and 51030