What is the Greatest Common Factor of 34695 and 34712?

Greatest common factor (GCF) of 34695 and 34712 is 1.

GCF(34695,34712) = 1

We will now calculate the prime factors of 34695 and 34712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34695 and 34712.

How to find the GCF of 34695 and 34712?

We will first find the prime factorization of 34695 and 34712. After we will calculate the factors of 34695 and 34712 and find the biggest common factor number .

Step-1: Prime Factorization of 34695

Prime factors of 34695 are 3, 5, 257. Prime factorization of 34695 in exponential form is:

34695 = 3³ × 5¹ × 257¹

Step-2: Prime Factorization of 34712

Prime factors of 34712 are 2, 4339. Prime factorization of 34712 in exponential form is:

34712 = 2³ × 4339¹

Step-3: Factors of 34695

List of positive integer factors of 34695 that divides 34695 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 257, 771, 1285, 2313, 3855, 6939, 11565

Step-4: Factors of 34712

List of positive integer factors of 34712 that divides 34695 without a remainder.

1, 2, 4, 8, 4339, 8678, 17356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34695 and 34712. The biggest common factor number is the GCF number.
So the greatest common factor 34695 and 34712 is 1.

Also check out the Least Common Multiple of 34695 and 34712