What is the Greatest Common Factor of 51930 and 51945?

Greatest common factor (GCF) of 51930 and 51945 is 15.

GCF(51930,51945) = 15

We will now calculate the prime factors of 51930 and 51945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51930 and 51945.

How to find the GCF of 51930 and 51945?

We will first find the prime factorization of 51930 and 51945. After we will calculate the factors of 51930 and 51945 and find the biggest common factor number .

Step-1: Prime Factorization of 51930

Prime factors of 51930 are 2, 3, 5, 577. Prime factorization of 51930 in exponential form is:

51930 = 2¹ × 3² × 5¹ × 577¹

Step-2: Prime Factorization of 51945

Prime factors of 51945 are 3, 5, 3463. Prime factorization of 51945 in exponential form is:

51945 = 3¹ × 5¹ × 3463¹

Step-3: Factors of 51930

List of positive integer factors of 51930 that divides 51930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 577, 1154, 1731, 2885, 3462, 5193, 5770, 8655, 10386, 17310, 25965

Step-4: Factors of 51945

List of positive integer factors of 51945 that divides 51930 without a remainder.

1, 3, 5, 15, 3463, 10389, 17315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51930 and 51945. The biggest common factor number is the GCF number.
So the greatest common factor 51930 and 51945 is 15.

Also check out the Least Common Multiple of 51930 and 51945