What is the Greatest Common Factor of 35845 and 35865?

Greatest common factor (GCF) of 35845 and 35865 is 5.

GCF(35845,35865) = 5

We will now calculate the prime factors of 35845 and 35865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35845 and 35865.

How to find the GCF of 35845 and 35865?

We will first find the prime factorization of 35845 and 35865. After we will calculate the factors of 35845 and 35865 and find the biggest common factor number .

Step-1: Prime Factorization of 35845

Prime factors of 35845 are 5, 67, 107. Prime factorization of 35845 in exponential form is:

35845 = 5¹ × 67¹ × 107¹

Step-2: Prime Factorization of 35865

Prime factors of 35865 are 3, 5, 797. Prime factorization of 35865 in exponential form is:

35865 = 3² × 5¹ × 797¹

Step-3: Factors of 35845

List of positive integer factors of 35845 that divides 35845 without a remainder.

1, 5, 67, 107, 335, 535, 7169

Step-4: Factors of 35865

List of positive integer factors of 35865 that divides 35845 without a remainder.

1, 3, 5, 9, 15, 45, 797, 2391, 3985, 7173, 11955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35845 and 35865. The biggest common factor number is the GCF number.
So the greatest common factor 35845 and 35865 is 5.

Also check out the Least Common Multiple of 35845 and 35865