What is the Greatest Common Factor of 35367 and 35386?

Greatest common factor (GCF) of 35367 and 35386 is 1.

GCF(35367,35386) = 1

We will now calculate the prime factors of 35367 and 35386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35367 and 35386.

How to find the GCF of 35367 and 35386?

We will first find the prime factorization of 35367 and 35386. After we will calculate the factors of 35367 and 35386 and find the biggest common factor number .

Step-1: Prime Factorization of 35367

Prime factors of 35367 are 3, 11789. Prime factorization of 35367 in exponential form is:

35367 = 3¹ × 11789¹

Step-2: Prime Factorization of 35386

Prime factors of 35386 are 2, 13, 1361. Prime factorization of 35386 in exponential form is:

35386 = 2¹ × 13¹ × 1361¹

Step-3: Factors of 35367

List of positive integer factors of 35367 that divides 35367 without a remainder.

1, 3, 11789

Step-4: Factors of 35386

List of positive integer factors of 35386 that divides 35367 without a remainder.

1, 2, 13, 26, 1361, 2722, 17693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35367 and 35386. The biggest common factor number is the GCF number.
So the greatest common factor 35367 and 35386 is 1.

Also check out the Least Common Multiple of 35367 and 35386