What is the Greatest Common Factor of 42914 and 42930?

Greatest common factor (GCF) of 42914 and 42930 is 2.

GCF(42914,42930) = 2

We will now calculate the prime factors of 42914 and 42930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42914 and 42930.

How to find the GCF of 42914 and 42930?

We will first find the prime factorization of 42914 and 42930. After we will calculate the factors of 42914 and 42930 and find the biggest common factor number .

Step-1: Prime Factorization of 42914

Prime factors of 42914 are 2, 43, 499. Prime factorization of 42914 in exponential form is:

42914 = 2¹ × 43¹ × 499¹

Step-2: 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-3: Factors of 42914

List of positive integer factors of 42914 that divides 42914 without a remainder.

1, 2, 43, 86, 499, 998, 21457

Step-4: Factors of 42930

List of positive integer factors of 42930 that divides 42914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42914 and 42930. The biggest common factor number is the GCF number.
So the greatest common factor 42914 and 42930 is 2.

Also check out the Least Common Multiple of 42914 and 42930