What is the Greatest Common Factor of 35936 and 35956?

Greatest common factor (GCF) of 35936 and 35956 is 4.

GCF(35936,35956) = 4

We will now calculate the prime factors of 35936 and 35956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35936 and 35956.

How to find the GCF of 35936 and 35956?

We will first find the prime factorization of 35936 and 35956. After we will calculate the factors of 35936 and 35956 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 35956

Prime factors of 35956 are 2, 89, 101. Prime factorization of 35956 in exponential form is:

35956 = 2² × 89¹ × 101¹

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 35956

List of positive integer factors of 35956 that divides 35936 without a remainder.

1, 2, 4, 89, 101, 178, 202, 356, 404, 8989, 17978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35936 and 35956. The biggest common factor number is the GCF number.
So the greatest common factor 35936 and 35956 is 4.

Also check out the Least Common Multiple of 35936 and 35956