What is the Greatest Common Factor of 34675 and 34689?

Greatest common factor (GCF) of 34675 and 34689 is 1.

GCF(34675,34689) = 1

We will now calculate the prime factors of 34675 and 34689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34675 and 34689.

How to find the GCF of 34675 and 34689?

We will first find the prime factorization of 34675 and 34689. After we will calculate the factors of 34675 and 34689 and find the biggest common factor number .

Step-1: Prime Factorization of 34675

Prime factors of 34675 are 5, 19, 73. Prime factorization of 34675 in exponential form is:

34675 = 5² × 19¹ × 73¹

Step-2: Prime Factorization of 34689

Prime factors of 34689 are 3, 31, 373. Prime factorization of 34689 in exponential form is:

34689 = 3¹ × 31¹ × 373¹

Step-3: Factors of 34675

List of positive integer factors of 34675 that divides 34675 without a remainder.

1, 5, 19, 25, 73, 95, 365, 475, 1387, 1825, 6935

Step-4: Factors of 34689

List of positive integer factors of 34689 that divides 34675 without a remainder.

1, 3, 31, 93, 373, 1119, 11563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34675 and 34689. The biggest common factor number is the GCF number.
So the greatest common factor 34675 and 34689 is 1.

Also check out the Least Common Multiple of 34675 and 34689