What is the Greatest Common Factor of 34058 and 34062?

Greatest common factor (GCF) of 34058 and 34062 is 2.

GCF(34058,34062) = 2

We will now calculate the prime factors of 34058 and 34062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34058 and 34062.

How to find the GCF of 34058 and 34062?

We will first find the prime factorization of 34058 and 34062. After we will calculate the factors of 34058 and 34062 and find the biggest common factor number .

Step-1: Prime Factorization of 34058

Prime factors of 34058 are 2, 17029. Prime factorization of 34058 in exponential form is:

34058 = 2¹ × 17029¹

Step-2: Prime Factorization of 34062

Prime factors of 34062 are 2, 3, 7, 811. Prime factorization of 34062 in exponential form is:

34062 = 2¹ × 3¹ × 7¹ × 811¹

Step-3: Factors of 34058

List of positive integer factors of 34058 that divides 34058 without a remainder.

1, 2, 17029

Step-4: Factors of 34062

List of positive integer factors of 34062 that divides 34058 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 811, 1622, 2433, 4866, 5677, 11354, 17031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34058 and 34062. The biggest common factor number is the GCF number.
So the greatest common factor 34058 and 34062 is 2.

Also check out the Least Common Multiple of 34058 and 34062