What is the Greatest Common Factor of 35931 and 35947?

Greatest common factor (GCF) of 35931 and 35947 is 1.

GCF(35931,35947) = 1

We will now calculate the prime factors of 35931 and 35947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35931 and 35947.

How to find the GCF of 35931 and 35947?

We will first find the prime factorization of 35931 and 35947. After we will calculate the factors of 35931 and 35947 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35947

Prime factors of 35947 are 103, 349. Prime factorization of 35947 in exponential form is:

35947 = 103¹ × 349¹

Step-3: Factors of 35931

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

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

Step-4: Factors of 35947

List of positive integer factors of 35947 that divides 35931 without a remainder.

1, 103, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35931 and 35947. The biggest common factor number is the GCF number.
So the greatest common factor 35931 and 35947 is 1.

Also check out the Least Common Multiple of 35931 and 35947