What is the Greatest Common Factor of 35931 and 35940?

Greatest common factor (GCF) of 35931 and 35940 is 3.

GCF(35931,35940) = 3

We will now calculate the prime factors of 35931 and 35940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35931 and 35940.

How to find the GCF of 35931 and 35940?

We will first find the prime factorization of 35931 and 35940. After we will calculate the factors of 35931 and 35940 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 35940

Prime factors of 35940 are 2, 3, 5, 599. Prime factorization of 35940 in exponential form is:

35940 = 2² × 3¹ × 5¹ × 599¹

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 35940

List of positive integer factors of 35940 that divides 35931 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396, 2995, 3594, 5990, 7188, 8985, 11980, 17970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35931 and 35940. The biggest common factor number is the GCF number.
So the greatest common factor 35931 and 35940 is 3.

Also check out the Least Common Multiple of 35931 and 35940