What is the Greatest Common Factor of 35850 and 35869?

Greatest common factor (GCF) of 35850 and 35869 is 1.

GCF(35850,35869) = 1

We will now calculate the prime factors of 35850 and 35869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35850 and 35869.

How to find the GCF of 35850 and 35869?

We will first find the prime factorization of 35850 and 35869. After we will calculate the factors of 35850 and 35869 and find the biggest common factor number .

Step-1: Prime Factorization of 35850

Prime factors of 35850 are 2, 3, 5, 239. Prime factorization of 35850 in exponential form is:

35850 = 2¹ × 3¹ × 5² × 239¹

Step-2: Prime Factorization of 35869

Prime factors of 35869 are 35869. Prime factorization of 35869 in exponential form is:

35869 = 35869¹

Step-3: Factors of 35850

List of positive integer factors of 35850 that divides 35850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 239, 478, 717, 1195, 1434, 2390, 3585, 5975, 7170, 11950, 17925

Step-4: Factors of 35869

List of positive integer factors of 35869 that divides 35850 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35850 and 35869. The biggest common factor number is the GCF number.
So the greatest common factor 35850 and 35869 is 1.

Also check out the Least Common Multiple of 35850 and 35869