What is the Greatest Common Factor of 35936 and 35949?

Greatest common factor (GCF) of 35936 and 35949 is 1.

GCF(35936,35949) = 1

We will now calculate the prime factors of 35936 and 35949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35936 and 35949.

How to find the GCF of 35936 and 35949?

We will first find the prime factorization of 35936 and 35949. After we will calculate the factors of 35936 and 35949 and find the biggest common factor number .

Step-1: Prime Factorization of 35936

Prime factors of 35936 are 2, 1123. Prime factorization of 35936 in exponential form is:

35936 = 2⁵ × 1123¹

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 35936

List of positive integer factors of 35936 that divides 35936 without a remainder.

1, 2, 4, 8, 16, 32, 1123, 2246, 4492, 8984, 17968

Step-4: Factors of 35949

List of positive integer factors of 35949 that divides 35936 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35936 and 35949. The biggest common factor number is the GCF number.
So the greatest common factor 35936 and 35949 is 1.

Also check out the Least Common Multiple of 35936 and 35949