What is the Greatest Common Factor of 35914 and 35927?

Greatest common factor (GCF) of 35914 and 35927 is 1.

GCF(35914,35927) = 1

We will now calculate the prime factors of 35914 and 35927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35914 and 35927.

How to find the GCF of 35914 and 35927?

We will first find the prime factorization of 35914 and 35927. After we will calculate the factors of 35914 and 35927 and find the biggest common factor number .

Step-1: Prime Factorization of 35914

Prime factors of 35914 are 2, 17957. Prime factorization of 35914 in exponential form is:

35914 = 2¹ × 17957¹

Step-2: Prime Factorization of 35927

Prime factors of 35927 are 37, 971. Prime factorization of 35927 in exponential form is:

35927 = 37¹ × 971¹

Step-3: Factors of 35914

List of positive integer factors of 35914 that divides 35914 without a remainder.

1, 2, 17957

Step-4: Factors of 35927

List of positive integer factors of 35927 that divides 35914 without a remainder.

1, 37, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35914 and 35927. The biggest common factor number is the GCF number.
So the greatest common factor 35914 and 35927 is 1.

Also check out the Least Common Multiple of 35914 and 35927