What is the Greatest Common Factor of 35768 and 35785?

Greatest common factor (GCF) of 35768 and 35785 is 17.

GCF(35768,35785) = 17

We will now calculate the prime factors of 35768 and 35785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35768 and 35785.

How to find the GCF of 35768 and 35785?

We will first find the prime factorization of 35768 and 35785. After we will calculate the factors of 35768 and 35785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35785

Prime factors of 35785 are 5, 17, 421. Prime factorization of 35785 in exponential form is:

35785 = 5¹ × 17¹ × 421¹

Step-3: Factors of 35768

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

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

Step-4: Factors of 35785

List of positive integer factors of 35785 that divides 35768 without a remainder.

1, 5, 17, 85, 421, 2105, 7157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35768 and 35785. The biggest common factor number is the GCF number.
So the greatest common factor 35768 and 35785 is 17.

Also check out the Least Common Multiple of 35768 and 35785