What is the Greatest Common Factor of 35694 and 35714?

Greatest common factor (GCF) of 35694 and 35714 is 2.

GCF(35694,35714) = 2

We will now calculate the prime factors of 35694 and 35714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35694 and 35714.

How to find the GCF of 35694 and 35714?

We will first find the prime factorization of 35694 and 35714. After we will calculate the factors of 35694 and 35714 and find the biggest common factor number .

Step-1: Prime Factorization of 35694

Prime factors of 35694 are 2, 3, 661. Prime factorization of 35694 in exponential form is:

35694 = 2¹ × 3³ × 661¹

Step-2: Prime Factorization of 35714

Prime factors of 35714 are 2, 7, 2551. Prime factorization of 35714 in exponential form is:

35714 = 2¹ × 7¹ × 2551¹

Step-3: Factors of 35694

List of positive integer factors of 35694 that divides 35694 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 661, 1322, 1983, 3966, 5949, 11898, 17847

Step-4: Factors of 35714

List of positive integer factors of 35714 that divides 35694 without a remainder.

1, 2, 7, 14, 2551, 5102, 17857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35694 and 35714. The biggest common factor number is the GCF number.
So the greatest common factor 35694 and 35714 is 2.

Also check out the Least Common Multiple of 35694 and 35714