What is the Greatest Common Factor of 35356 and 35361?

Greatest common factor (GCF) of 35356 and 35361 is 1.

GCF(35356,35361) = 1

We will now calculate the prime factors of 35356 and 35361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35356 and 35361.

How to find the GCF of 35356 and 35361?

We will first find the prime factorization of 35356 and 35361. After we will calculate the factors of 35356 and 35361 and find the biggest common factor number .

Step-1: Prime Factorization of 35356

Prime factors of 35356 are 2, 8839. Prime factorization of 35356 in exponential form is:

35356 = 2² × 8839¹

Step-2: Prime Factorization of 35361

Prime factors of 35361 are 3, 3929. Prime factorization of 35361 in exponential form is:

35361 = 3² × 3929¹

Step-3: Factors of 35356

List of positive integer factors of 35356 that divides 35356 without a remainder.

1, 2, 4, 8839, 17678

Step-4: Factors of 35361

List of positive integer factors of 35361 that divides 35356 without a remainder.

1, 3, 9, 3929, 11787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35356 and 35361. The biggest common factor number is the GCF number.
So the greatest common factor 35356 and 35361 is 1.

Also check out the Least Common Multiple of 35356 and 35361