What is the Greatest Common Factor of 42514 and 42529?

Greatest common factor (GCF) of 42514 and 42529 is 1.

GCF(42514,42529) = 1

We will now calculate the prime factors of 42514 and 42529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42514 and 42529.

How to find the GCF of 42514 and 42529?

We will first find the prime factorization of 42514 and 42529. After we will calculate the factors of 42514 and 42529 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 42529

Prime factors of 42529 are 71, 599. Prime factorization of 42529 in exponential form is:

42529 = 71¹ × 599¹

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 42529

List of positive integer factors of 42529 that divides 42514 without a remainder.

1, 71, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42514 and 42529. The biggest common factor number is the GCF number.
So the greatest common factor 42514 and 42529 is 1.

Also check out the Least Common Multiple of 42514 and 42529