What is the Greatest Common Factor of 35840 and 35850?

Greatest common factor (GCF) of 35840 and 35850 is 10.

GCF(35840,35850) = 10

We will now calculate the prime factors of 35840 and 35850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35840 and 35850.

How to find the GCF of 35840 and 35850?

We will first find the prime factorization of 35840 and 35850. After we will calculate the factors of 35840 and 35850 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 35850

Prime factors of 35850 are 2, 3, 5, 239. Prime factorization of 35850 in exponential form is:

35850 = 2¹ × 3¹ × 5² × 239¹

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 35850

List of positive integer factors of 35850 that divides 35840 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 239, 478, 717, 1195, 1434, 2390, 3585, 5975, 7170, 11950, 17925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35840 and 35850. The biggest common factor number is the GCF number.
So the greatest common factor 35840 and 35850 is 10.

Also check out the Least Common Multiple of 35840 and 35850