What is the Greatest Common Factor of 35917 and 35931?

Greatest common factor (GCF) of 35917 and 35931 is 7.

GCF(35917,35931) = 7

We will now calculate the prime factors of 35917 and 35931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35917 and 35931.

How to find the GCF of 35917 and 35931?

We will first find the prime factorization of 35917 and 35931. After we will calculate the factors of 35917 and 35931 and find the biggest common factor number .

Step-1: Prime Factorization of 35917

Prime factors of 35917 are 7, 733. Prime factorization of 35917 in exponential form is:

35917 = 7² × 733¹

Step-2: Prime Factorization of 35931

Prime factors of 35931 are 3, 7, 29, 59. Prime factorization of 35931 in exponential form is:

35931 = 3¹ × 7¹ × 29¹ × 59¹

Step-3: Factors of 35917

List of positive integer factors of 35917 that divides 35917 without a remainder.

1, 7, 49, 733, 5131

Step-4: Factors of 35931

List of positive integer factors of 35931 that divides 35917 without a remainder.

1, 3, 7, 21, 29, 59, 87, 177, 203, 413, 609, 1239, 1711, 5133, 11977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35917 and 35931. The biggest common factor number is the GCF number.
So the greatest common factor 35917 and 35931 is 7.

Also check out the Least Common Multiple of 35917 and 35931