What is the Greatest Common Factor of 35937 and 35951?

Greatest common factor (GCF) of 35937 and 35951 is 1.

GCF(35937,35951) = 1

We will now calculate the prime factors of 35937 and 35951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35937 and 35951.

How to find the GCF of 35937 and 35951?

We will first find the prime factorization of 35937 and 35951. After we will calculate the factors of 35937 and 35951 and find the biggest common factor number .

Step-1: Prime Factorization of 35937

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

35937 = 3³ × 11³

Step-2: Prime Factorization of 35951

Prime factors of 35951 are 35951. Prime factorization of 35951 in exponential form is:

35951 = 35951¹

Step-3: Factors of 35937

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

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

Step-4: Factors of 35951

List of positive integer factors of 35951 that divides 35937 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35937 and 35951. The biggest common factor number is the GCF number.
So the greatest common factor 35937 and 35951 is 1.

Also check out the Least Common Multiple of 35937 and 35951