What is the Greatest Common Factor of 35849 and 35864?

Greatest common factor (GCF) of 35849 and 35864 is 1.

GCF(35849,35864) = 1

We will now calculate the prime factors of 35849 and 35864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35849 and 35864.

How to find the GCF of 35849 and 35864?

We will first find the prime factorization of 35849 and 35864. After we will calculate the factors of 35849 and 35864 and find the biggest common factor number .

Step-1: Prime Factorization of 35849

Prime factors of 35849 are 11, 3259. Prime factorization of 35849 in exponential form is:

35849 = 11¹ × 3259¹

Step-2: Prime Factorization of 35864

Prime factors of 35864 are 2, 4483. Prime factorization of 35864 in exponential form is:

35864 = 2³ × 4483¹

Step-3: Factors of 35849

List of positive integer factors of 35849 that divides 35849 without a remainder.

1, 11, 3259

Step-4: Factors of 35864

List of positive integer factors of 35864 that divides 35849 without a remainder.

1, 2, 4, 8, 4483, 8966, 17932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35849 and 35864. The biggest common factor number is the GCF number.
So the greatest common factor 35849 and 35864 is 1.

Also check out the Least Common Multiple of 35849 and 35864