What is the Greatest Common Factor of 42930 and 42945?

Greatest common factor (GCF) of 42930 and 42945 is 15.

GCF(42930,42945) = 15

We will now calculate the prime factors of 42930 and 42945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42930 and 42945.

How to find the GCF of 42930 and 42945?

We will first find the prime factorization of 42930 and 42945. After we will calculate the factors of 42930 and 42945 and find the biggest common factor number .

Step-1: Prime Factorization of 42930

Prime factors of 42930 are 2, 3, 5, 53. Prime factorization of 42930 in exponential form is:

42930 = 2¹ × 3⁴ × 5¹ × 53¹

Step-2: Prime Factorization of 42945

Prime factors of 42945 are 3, 5, 7, 409. Prime factorization of 42945 in exponential form is:

42945 = 3¹ × 5¹ × 7¹ × 409¹

Step-3: Factors of 42930

List of positive integer factors of 42930 that divides 42930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 81, 90, 106, 135, 159, 162, 265, 270, 318, 405, 477, 530, 795, 810, 954, 1431, 1590, 2385, 2862, 4293, 4770, 7155, 8586, 14310, 21465

Step-4: Factors of 42945

List of positive integer factors of 42945 that divides 42930 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 409, 1227, 2045, 2863, 6135, 8589, 14315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42930 and 42945. The biggest common factor number is the GCF number.
So the greatest common factor 42930 and 42945 is 15.

Also check out the Least Common Multiple of 42930 and 42945