What is the Greatest Common Factor of 35936 and 35954?

Greatest common factor (GCF) of 35936 and 35954 is 2.

GCF(35936,35954) = 2

We will now calculate the prime factors of 35936 and 35954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35936 and 35954.

How to find the GCF of 35936 and 35954?

We will first find the prime factorization of 35936 and 35954. After we will calculate the factors of 35936 and 35954 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 35954

Prime factors of 35954 are 2, 17977. Prime factorization of 35954 in exponential form is:

35954 = 2¹ × 17977¹

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 35954

List of positive integer factors of 35954 that divides 35936 without a remainder.

1, 2, 17977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35936 and 35954. The biggest common factor number is the GCF number.
So the greatest common factor 35936 and 35954 is 2.

Also check out the Least Common Multiple of 35936 and 35954