What is the Greatest Common Factor of 35924 and 35935?

Greatest common factor (GCF) of 35924 and 35935 is 1.

GCF(35924,35935) = 1

We will now calculate the prime factors of 35924 and 35935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35924 and 35935.

How to find the GCF of 35924 and 35935?

We will first find the prime factorization of 35924 and 35935. After we will calculate the factors of 35924 and 35935 and find the biggest common factor number .

Step-1: Prime Factorization of 35924

Prime factors of 35924 are 2, 7, 1283. Prime factorization of 35924 in exponential form is:

35924 = 2² × 7¹ × 1283¹

Step-2: Prime Factorization of 35935

Prime factors of 35935 are 5, 7187. Prime factorization of 35935 in exponential form is:

35935 = 5¹ × 7187¹

Step-3: Factors of 35924

List of positive integer factors of 35924 that divides 35924 without a remainder.

1, 2, 4, 7, 14, 28, 1283, 2566, 5132, 8981, 17962

Step-4: Factors of 35935

List of positive integer factors of 35935 that divides 35924 without a remainder.

1, 5, 7187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35924 and 35935. The biggest common factor number is the GCF number.
So the greatest common factor 35924 and 35935 is 1.

Also check out the Least Common Multiple of 35924 and 35935