What is the Greatest Common Factor of 35810 and 35828?

Greatest common factor (GCF) of 35810 and 35828 is 2.

GCF(35810,35828) = 2

We will now calculate the prime factors of 35810 and 35828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35810 and 35828.

How to find the GCF of 35810 and 35828?

We will first find the prime factorization of 35810 and 35828. After we will calculate the factors of 35810 and 35828 and find the biggest common factor number .

Step-1: Prime Factorization of 35810

Prime factors of 35810 are 2, 5, 3581. Prime factorization of 35810 in exponential form is:

35810 = 2¹ × 5¹ × 3581¹

Step-2: 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-3: Factors of 35810

List of positive integer factors of 35810 that divides 35810 without a remainder.

1, 2, 5, 10, 3581, 7162, 17905

Step-4: Factors of 35828

List of positive integer factors of 35828 that divides 35810 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35810 and 35828. The biggest common factor number is the GCF number.
So the greatest common factor 35810 and 35828 is 2.

Also check out the Least Common Multiple of 35810 and 35828