What is the Greatest Common Factor of 34700 and 34714?

Greatest common factor (GCF) of 34700 and 34714 is 2.

GCF(34700,34714) = 2

We will now calculate the prime factors of 34700 and 34714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34700 and 34714.

How to find the GCF of 34700 and 34714?

We will first find the prime factorization of 34700 and 34714. After we will calculate the factors of 34700 and 34714 and find the biggest common factor number .

Step-1: Prime Factorization of 34700

Prime factors of 34700 are 2, 5, 347. Prime factorization of 34700 in exponential form is:

34700 = 2² × 5² × 347¹

Step-2: Prime Factorization of 34714

Prime factors of 34714 are 2, 17, 1021. Prime factorization of 34714 in exponential form is:

34714 = 2¹ × 17¹ × 1021¹

Step-3: Factors of 34700

List of positive integer factors of 34700 that divides 34700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 347, 694, 1388, 1735, 3470, 6940, 8675, 17350

Step-4: Factors of 34714

List of positive integer factors of 34714 that divides 34700 without a remainder.

1, 2, 17, 34, 1021, 2042, 17357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34700 and 34714. The biggest common factor number is the GCF number.
So the greatest common factor 34700 and 34714 is 2.

Also check out the Least Common Multiple of 34700 and 34714