What is the Greatest Common Factor of 35810 and 35815?

Greatest common factor (GCF) of 35810 and 35815 is 5.

GCF(35810,35815) = 5

We will now calculate the prime factors of 35810 and 35815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35810 and 35815.

How to find the GCF of 35810 and 35815?

We will first find the prime factorization of 35810 and 35815. After we will calculate the factors of 35810 and 35815 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 35815

Prime factors of 35815 are 5, 13, 19, 29. Prime factorization of 35815 in exponential form is:

35815 = 5¹ × 13¹ × 19¹ × 29¹

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 35815

List of positive integer factors of 35815 that divides 35810 without a remainder.

1, 5, 13, 19, 29, 65, 95, 145, 247, 377, 551, 1235, 1885, 2755, 7163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35810 and 35815. The biggest common factor number is the GCF number.
So the greatest common factor 35810 and 35815 is 5.

Also check out the Least Common Multiple of 35810 and 35815