What is the Greatest Common Factor of 45930 and 45935?

Greatest common factor (GCF) of 45930 and 45935 is 5.

GCF(45930,45935) = 5

We will now calculate the prime factors of 45930 and 45935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45930 and 45935.

How to find the GCF of 45930 and 45935?

We will first find the prime factorization of 45930 and 45935. After we will calculate the factors of 45930 and 45935 and find the biggest common factor number .

Step-1: Prime Factorization of 45930

Prime factors of 45930 are 2, 3, 5, 1531. Prime factorization of 45930 in exponential form is:

45930 = 2¹ × 3¹ × 5¹ × 1531¹

Step-2: Prime Factorization of 45935

Prime factors of 45935 are 5, 9187. Prime factorization of 45935 in exponential form is:

45935 = 5¹ × 9187¹

Step-3: Factors of 45930

List of positive integer factors of 45930 that divides 45930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1531, 3062, 4593, 7655, 9186, 15310, 22965

Step-4: Factors of 45935

List of positive integer factors of 45935 that divides 45930 without a remainder.

1, 5, 9187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45930 and 45935. The biggest common factor number is the GCF number.
So the greatest common factor 45930 and 45935 is 5.

Also check out the Least Common Multiple of 45930 and 45935