What is the Greatest Common Factor of 35922 and 35937?

Greatest common factor (GCF) of 35922 and 35937 is 3.

GCF(35922,35937) = 3

We will now calculate the prime factors of 35922 and 35937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35922 and 35937.

How to find the GCF of 35922 and 35937?

We will first find the prime factorization of 35922 and 35937. After we will calculate the factors of 35922 and 35937 and find the biggest common factor number .

Step-1: Prime Factorization of 35922

Prime factors of 35922 are 2, 3, 5987. Prime factorization of 35922 in exponential form is:

35922 = 2¹ × 3¹ × 5987¹

Step-2: Prime Factorization of 35937

Prime factors of 35937 are 3, 11. Prime factorization of 35937 in exponential form is:

35937 = 3³ × 11³

Step-3: Factors of 35922

List of positive integer factors of 35922 that divides 35922 without a remainder.

1, 2, 3, 6, 5987, 11974, 17961

Step-4: Factors of 35937

List of positive integer factors of 35937 that divides 35922 without a remainder.

1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 1331, 3267, 3993, 11979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35922 and 35937. The biggest common factor number is the GCF number.
So the greatest common factor 35922 and 35937 is 3.

Also check out the Least Common Multiple of 35922 and 35937