What is the Greatest Common Factor of 42814 and 42832?

Greatest common factor (GCF) of 42814 and 42832 is 2.

GCF(42814,42832) = 2

We will now calculate the prime factors of 42814 and 42832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42814 and 42832.

How to find the GCF of 42814 and 42832?

We will first find the prime factorization of 42814 and 42832. After we will calculate the factors of 42814 and 42832 and find the biggest common factor number .

Step-1: Prime Factorization of 42814

Prime factors of 42814 are 2, 21407. Prime factorization of 42814 in exponential form is:

42814 = 2¹ × 21407¹

Step-2: Prime Factorization of 42832

Prime factors of 42832 are 2, 2677. Prime factorization of 42832 in exponential form is:

42832 = 2⁴ × 2677¹

Step-3: Factors of 42814

List of positive integer factors of 42814 that divides 42814 without a remainder.

1, 2, 21407

Step-4: Factors of 42832

List of positive integer factors of 42832 that divides 42814 without a remainder.

1, 2, 4, 8, 16, 2677, 5354, 10708, 21416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42814 and 42832. The biggest common factor number is the GCF number.
So the greatest common factor 42814 and 42832 is 2.

Also check out the Least Common Multiple of 42814 and 42832