What is the Greatest Common Factor of 42930 and 42948?

Greatest common factor (GCF) of 42930 and 42948 is 18.

GCF(42930,42948) = 18

We will now calculate the prime factors of 42930 and 42948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42930 and 42948.

How to find the GCF of 42930 and 42948?

We will first find the prime factorization of 42930 and 42948. After we will calculate the factors of 42930 and 42948 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 42948

Prime factors of 42948 are 2, 3, 1193. Prime factorization of 42948 in exponential form is:

42948 = 2² × 3² × 1193¹

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 42948

List of positive integer factors of 42948 that divides 42930 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316, 21474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42930 and 42948. The biggest common factor number is the GCF number.
So the greatest common factor 42930 and 42948 is 18.

Also check out the Least Common Multiple of 42930 and 42948