What is the Greatest Common Factor of 42314 and 42334?

Greatest common factor (GCF) of 42314 and 42334 is 2.

GCF(42314,42334) = 2

We will now calculate the prime factors of 42314 and 42334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42314 and 42334.

How to find the GCF of 42314 and 42334?

We will first find the prime factorization of 42314 and 42334. After we will calculate the factors of 42314 and 42334 and find the biggest common factor number .

Step-1: Prime Factorization of 42314

Prime factors of 42314 are 2, 21157. Prime factorization of 42314 in exponential form is:

42314 = 2¹ × 21157¹

Step-2: Prime Factorization of 42334

Prime factors of 42334 are 2, 61, 347. Prime factorization of 42334 in exponential form is:

42334 = 2¹ × 61¹ × 347¹

Step-3: Factors of 42314

List of positive integer factors of 42314 that divides 42314 without a remainder.

1, 2, 21157

Step-4: Factors of 42334

List of positive integer factors of 42334 that divides 42314 without a remainder.

1, 2, 61, 122, 347, 694, 21167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42314 and 42334. The biggest common factor number is the GCF number.
So the greatest common factor 42314 and 42334 is 2.

Also check out the Least Common Multiple of 42314 and 42334