What is the Greatest Common Factor of 65849 and 65867?

Greatest common factor (GCF) of 65849 and 65867 is 1.

GCF(65849,65867) = 1

We will now calculate the prime factors of 65849 and 65867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65849 and 65867.

How to find the GCF of 65849 and 65867?

We will first find the prime factorization of 65849 and 65867. After we will calculate the factors of 65849 and 65867 and find the biggest common factor number .

Step-1: Prime Factorization of 65849

Prime factors of 65849 are 7, 23, 409. Prime factorization of 65849 in exponential form is:

65849 = 7¹ × 23¹ × 409¹

Step-2: Prime Factorization of 65867

Prime factors of 65867 are 65867. Prime factorization of 65867 in exponential form is:

65867 = 65867¹

Step-3: Factors of 65849

List of positive integer factors of 65849 that divides 65849 without a remainder.

1, 7, 23, 161, 409, 2863, 9407

Step-4: Factors of 65867

List of positive integer factors of 65867 that divides 65849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65849 and 65867. The biggest common factor number is the GCF number.
So the greatest common factor 65849 and 65867 is 1.

Also check out the Least Common Multiple of 65849 and 65867