What is the Greatest Common Factor of 34078 and 34097?

Greatest common factor (GCF) of 34078 and 34097 is 1.

GCF(34078,34097) = 1

We will now calculate the prime factors of 34078 and 34097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34078 and 34097.

How to find the GCF of 34078 and 34097?

We will first find the prime factorization of 34078 and 34097. After we will calculate the factors of 34078 and 34097 and find the biggest common factor number .

Step-1: Prime Factorization of 34078

Prime factors of 34078 are 2, 11, 1549. Prime factorization of 34078 in exponential form is:

34078 = 2¹ × 11¹ × 1549¹

Step-2: Prime Factorization of 34097

Prime factors of 34097 are 7, 4871. Prime factorization of 34097 in exponential form is:

34097 = 7¹ × 4871¹

Step-3: Factors of 34078

List of positive integer factors of 34078 that divides 34078 without a remainder.

1, 2, 11, 22, 1549, 3098, 17039

Step-4: Factors of 34097

List of positive integer factors of 34097 that divides 34078 without a remainder.

1, 7, 4871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34078 and 34097. The biggest common factor number is the GCF number.
So the greatest common factor 34078 and 34097 is 1.

Also check out the Least Common Multiple of 34078 and 34097