What is the Greatest Common Factor of 34069 and 34083?

Greatest common factor (GCF) of 34069 and 34083 is 7.

GCF(34069,34083) = 7

We will now calculate the prime factors of 34069 and 34083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34069 and 34083.

How to find the GCF of 34069 and 34083?

We will first find the prime factorization of 34069 and 34083. After we will calculate the factors of 34069 and 34083 and find the biggest common factor number .

Step-1: Prime Factorization of 34069

Prime factors of 34069 are 7, 31, 157. Prime factorization of 34069 in exponential form is:

34069 = 7¹ × 31¹ × 157¹

Step-2: Prime Factorization of 34083

Prime factors of 34083 are 3, 7, 541. Prime factorization of 34083 in exponential form is:

34083 = 3² × 7¹ × 541¹

Step-3: Factors of 34069

List of positive integer factors of 34069 that divides 34069 without a remainder.

1, 7, 31, 157, 217, 1099, 4867

Step-4: Factors of 34083

List of positive integer factors of 34083 that divides 34069 without a remainder.

1, 3, 7, 9, 21, 63, 541, 1623, 3787, 4869, 11361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34069 and 34083. The biggest common factor number is the GCF number.
So the greatest common factor 34069 and 34083 is 7.

Also check out the Least Common Multiple of 34069 and 34083