What is the Greatest Common Factor of 35825 and 35833?

Greatest common factor (GCF) of 35825 and 35833 is 1.

GCF(35825,35833) = 1

We will now calculate the prime factors of 35825 and 35833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35825 and 35833.

How to find the GCF of 35825 and 35833?

We will first find the prime factorization of 35825 and 35833. After we will calculate the factors of 35825 and 35833 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 35833

Prime factors of 35833 are 7, 5119. Prime factorization of 35833 in exponential form is:

35833 = 7¹ × 5119¹

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 35833

List of positive integer factors of 35833 that divides 35825 without a remainder.

1, 7, 5119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35825 and 35833. The biggest common factor number is the GCF number.
So the greatest common factor 35825 and 35833 is 1.

Also check out the Least Common Multiple of 35825 and 35833