What is the Greatest Common Factor of 42914 and 42929?

Greatest common factor (GCF) of 42914 and 42929 is 1.

GCF(42914,42929) = 1

We will now calculate the prime factors of 42914 and 42929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42914 and 42929.

How to find the GCF of 42914 and 42929?

We will first find the prime factorization of 42914 and 42929. After we will calculate the factors of 42914 and 42929 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 42929

Prime factors of 42929 are 42929. Prime factorization of 42929 in exponential form is:

42929 = 42929¹

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 42929

List of positive integer factors of 42929 that divides 42914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42914 and 42929. The biggest common factor number is the GCF number.
So the greatest common factor 42914 and 42929 is 1.

Also check out the Least Common Multiple of 42914 and 42929