What is the Greatest Common Factor of 35825 and 35830?

Greatest common factor (GCF) of 35825 and 35830 is 5.

GCF(35825,35830) = 5

We will now calculate the prime factors of 35825 and 35830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35825 and 35830.

How to find the GCF of 35825 and 35830?

We will first find the prime factorization of 35825 and 35830. After we will calculate the factors of 35825 and 35830 and find the biggest common factor number .

Step-1: Prime Factorization of 35825

Prime factors of 35825 are 5, 1433. Prime factorization of 35825 in exponential form is:

35825 = 5² × 1433¹

Step-2: Prime Factorization of 35830

Prime factors of 35830 are 2, 5, 3583. Prime factorization of 35830 in exponential form is:

35830 = 2¹ × 5¹ × 3583¹

Step-3: Factors of 35825

List of positive integer factors of 35825 that divides 35825 without a remainder.

1, 5, 25, 1433, 7165

Step-4: Factors of 35830

List of positive integer factors of 35830 that divides 35825 without a remainder.

1, 2, 5, 10, 3583, 7166, 17915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35825 and 35830. The biggest common factor number is the GCF number.
So the greatest common factor 35825 and 35830 is 5.

Also check out the Least Common Multiple of 35825 and 35830