What is the Greatest Common Factor of 35927 and 35934?

Greatest common factor (GCF) of 35927 and 35934 is 1.

GCF(35927,35934) = 1

We will now calculate the prime factors of 35927 and 35934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35927 and 35934.

How to find the GCF of 35927 and 35934?

We will first find the prime factorization of 35927 and 35934. After we will calculate the factors of 35927 and 35934 and find the biggest common factor number .

Step-1: Prime Factorization of 35927

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

35927 = 37¹ × 971¹

Step-2: Prime Factorization of 35934

Prime factors of 35934 are 2, 3, 53, 113. Prime factorization of 35934 in exponential form is:

35934 = 2¹ × 3¹ × 53¹ × 113¹

Step-3: Factors of 35927

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

1, 37, 971

Step-4: Factors of 35934

List of positive integer factors of 35934 that divides 35927 without a remainder.

1, 2, 3, 6, 53, 106, 113, 159, 226, 318, 339, 678, 5989, 11978, 17967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35927 and 35934. The biggest common factor number is the GCF number.
So the greatest common factor 35927 and 35934 is 1.

Also check out the Least Common Multiple of 35927 and 35934