What is the Greatest Common Factor of 35944 and 35957?

Greatest common factor (GCF) of 35944 and 35957 is 1.

GCF(35944,35957) = 1

We will now calculate the prime factors of 35944 and 35957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35944 and 35957.

How to find the GCF of 35944 and 35957?

We will first find the prime factorization of 35944 and 35957. After we will calculate the factors of 35944 and 35957 and find the biggest common factor number .

Step-1: Prime Factorization of 35944

Prime factors of 35944 are 2, 4493. Prime factorization of 35944 in exponential form is:

35944 = 2³ × 4493¹

Step-2: Prime Factorization of 35957

Prime factors of 35957 are 41, 877. Prime factorization of 35957 in exponential form is:

35957 = 41¹ × 877¹

Step-3: Factors of 35944

List of positive integer factors of 35944 that divides 35944 without a remainder.

1, 2, 4, 8, 4493, 8986, 17972

Step-4: Factors of 35957

List of positive integer factors of 35957 that divides 35944 without a remainder.

1, 41, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35944 and 35957. The biggest common factor number is the GCF number.
So the greatest common factor 35944 and 35957 is 1.

Also check out the Least Common Multiple of 35944 and 35957