What is the Greatest Common Factor of 35751 and 35768?

Greatest common factor (GCF) of 35751 and 35768 is 17.

GCF(35751,35768) = 17

We will now calculate the prime factors of 35751 and 35768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35751 and 35768.

How to find the GCF of 35751 and 35768?

We will first find the prime factorization of 35751 and 35768. After we will calculate the factors of 35751 and 35768 and find the biggest common factor number .

Step-1: Prime Factorization of 35751

Prime factors of 35751 are 3, 17, 701. Prime factorization of 35751 in exponential form is:

35751 = 3¹ × 17¹ × 701¹

Step-2: Prime Factorization of 35768

Prime factors of 35768 are 2, 17, 263. Prime factorization of 35768 in exponential form is:

35768 = 2³ × 17¹ × 263¹

Step-3: Factors of 35751

List of positive integer factors of 35751 that divides 35751 without a remainder.

1, 3, 17, 51, 701, 2103, 11917

Step-4: Factors of 35768

List of positive integer factors of 35768 that divides 35751 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 263, 526, 1052, 2104, 4471, 8942, 17884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35751 and 35768. The biggest common factor number is the GCF number.
So the greatest common factor 35751 and 35768 is 17.

Also check out the Least Common Multiple of 35751 and 35768