What is the Greatest Common Factor of 34578 and 34597?

Greatest common factor (GCF) of 34578 and 34597 is 1.

GCF(34578,34597) = 1

We will now calculate the prime factors of 34578 and 34597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34578 and 34597.

How to find the GCF of 34578 and 34597?

We will first find the prime factorization of 34578 and 34597. After we will calculate the factors of 34578 and 34597 and find the biggest common factor number .

Step-1: Prime Factorization of 34578

Prime factors of 34578 are 2, 3, 17, 113. Prime factorization of 34578 in exponential form is:

34578 = 2¹ × 3² × 17¹ × 113¹

Step-2: Prime Factorization of 34597

Prime factors of 34597 are 29, 1193. Prime factorization of 34597 in exponential form is:

34597 = 29¹ × 1193¹

Step-3: Factors of 34578

List of positive integer factors of 34578 that divides 34578 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 113, 153, 226, 306, 339, 678, 1017, 1921, 2034, 3842, 5763, 11526, 17289

Step-4: Factors of 34597

List of positive integer factors of 34597 that divides 34578 without a remainder.

1, 29, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34578 and 34597. The biggest common factor number is the GCF number.
So the greatest common factor 34578 and 34597 is 1.

Also check out the Least Common Multiple of 34578 and 34597