What is the Greatest Common Factor of 35840 and 35857?

Greatest common factor (GCF) of 35840 and 35857 is 1.

GCF(35840,35857) = 1

We will now calculate the prime factors of 35840 and 35857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35840 and 35857.

How to find the GCF of 35840 and 35857?

We will first find the prime factorization of 35840 and 35857. After we will calculate the factors of 35840 and 35857 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 35857

Prime factors of 35857 are 23, 1559. Prime factorization of 35857 in exponential form is:

35857 = 23¹ × 1559¹

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 35857

List of positive integer factors of 35857 that divides 35840 without a remainder.

1, 23, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35840 and 35857. The biggest common factor number is the GCF number.
So the greatest common factor 35840 and 35857 is 1.

Also check out the Least Common Multiple of 35840 and 35857