What is the Greatest Common Factor of 35828 and 35840?

Greatest common factor (GCF) of 35828 and 35840 is 4.

GCF(35828,35840) = 4

We will now calculate the prime factors of 35828 and 35840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35828 and 35840.

How to find the GCF of 35828 and 35840?

We will first find the prime factorization of 35828 and 35840. After we will calculate the factors of 35828 and 35840 and find the biggest common factor number .

Step-1: Prime Factorization of 35828

Prime factors of 35828 are 2, 13, 53. Prime factorization of 35828 in exponential form is:

35828 = 2² × 13² × 53¹

Step-2: 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-3: Factors of 35828

List of positive integer factors of 35828 that divides 35828 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 169, 212, 338, 676, 689, 1378, 2756, 8957, 17914

Step-4: Factors of 35840

List of positive integer factors of 35840 that divides 35828 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35828 and 35840. The biggest common factor number is the GCF number.
So the greatest common factor 35828 and 35840 is 4.

Also check out the Least Common Multiple of 35828 and 35840