What is the Greatest Common Factor of 42514 and 42530?

Greatest common factor (GCF) of 42514 and 42530 is 2.

GCF(42514,42530) = 2

We will now calculate the prime factors of 42514 and 42530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42514 and 42530.

How to find the GCF of 42514 and 42530?

We will first find the prime factorization of 42514 and 42530. After we will calculate the factors of 42514 and 42530 and find the biggest common factor number .

Step-1: Prime Factorization of 42514

Prime factors of 42514 are 2, 29, 733. Prime factorization of 42514 in exponential form is:

42514 = 2¹ × 29¹ × 733¹

Step-2: Prime Factorization of 42530

Prime factors of 42530 are 2, 5, 4253. Prime factorization of 42530 in exponential form is:

42530 = 2¹ × 5¹ × 4253¹

Step-3: Factors of 42514

List of positive integer factors of 42514 that divides 42514 without a remainder.

1, 2, 29, 58, 733, 1466, 21257

Step-4: Factors of 42530

List of positive integer factors of 42530 that divides 42514 without a remainder.

1, 2, 5, 10, 4253, 8506, 21265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42514 and 42530. The biggest common factor number is the GCF number.
So the greatest common factor 42514 and 42530 is 2.

Also check out the Least Common Multiple of 42514 and 42530