What is the Greatest Common Factor of 35840 and 35855?

Greatest common factor (GCF) of 35840 and 35855 is 5.

GCF(35840,35855) = 5

We will now calculate the prime factors of 35840 and 35855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35840 and 35855.

How to find the GCF of 35840 and 35855?

We will first find the prime factorization of 35840 and 35855. After we will calculate the factors of 35840 and 35855 and find the biggest common factor number .

Step-1: Prime Factorization of 35840

Prime factors of 35840 are 2, 5, 7. Prime factorization of 35840 in exponential form is:

35840 = 2¹⁰ × 5¹ × 7¹

Step-2: Prime Factorization of 35855

Prime factors of 35855 are 5, 71, 101. Prime factorization of 35855 in exponential form is:

35855 = 5¹ × 71¹ × 101¹

Step-3: Factors of 35840

List of positive integer factors of 35840 that divides 35840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 512, 560, 640, 896, 1024, 1120, 1280, 1792, 2240, 2560, 3584, 4480, 5120, 7168, 8960, 17920

Step-4: Factors of 35855

List of positive integer factors of 35855 that divides 35840 without a remainder.

1, 5, 71, 101, 355, 505, 7171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35840 and 35855. The biggest common factor number is the GCF number.
So the greatest common factor 35840 and 35855 is 5.

Also check out the Least Common Multiple of 35840 and 35855