What is the Greatest Common Factor of 35934 and 35949?

Greatest common factor (GCF) of 35934 and 35949 is 3.

GCF(35934,35949) = 3

We will now calculate the prime factors of 35934 and 35949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35934 and 35949.

How to find the GCF of 35934 and 35949?

We will first find the prime factorization of 35934 and 35949. After we will calculate the factors of 35934 and 35949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35949

Prime factors of 35949 are 3, 23, 521. Prime factorization of 35949 in exponential form is:

35949 = 3¹ × 23¹ × 521¹

Step-3: Factors of 35934

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

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

Step-4: Factors of 35949

List of positive integer factors of 35949 that divides 35934 without a remainder.

1, 3, 23, 69, 521, 1563, 11983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35934 and 35949. The biggest common factor number is the GCF number.
So the greatest common factor 35934 and 35949 is 3.

Also check out the Least Common Multiple of 35934 and 35949