What is the Greatest Common Factor of 35354 and 35365?

Greatest common factor (GCF) of 35354 and 35365 is 11.

GCF(35354,35365) = 11

We will now calculate the prime factors of 35354 and 35365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35354 and 35365.

How to find the GCF of 35354 and 35365?

We will first find the prime factorization of 35354 and 35365. After we will calculate the factors of 35354 and 35365 and find the biggest common factor number .

Step-1: Prime Factorization of 35354

Prime factors of 35354 are 2, 11, 1607. Prime factorization of 35354 in exponential form is:

35354 = 2¹ × 11¹ × 1607¹

Step-2: Prime Factorization of 35365

Prime factors of 35365 are 5, 11, 643. Prime factorization of 35365 in exponential form is:

35365 = 5¹ × 11¹ × 643¹

Step-3: Factors of 35354

List of positive integer factors of 35354 that divides 35354 without a remainder.

1, 2, 11, 22, 1607, 3214, 17677

Step-4: Factors of 35365

List of positive integer factors of 35365 that divides 35354 without a remainder.

1, 5, 11, 55, 643, 3215, 7073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35354 and 35365. The biggest common factor number is the GCF number.
So the greatest common factor 35354 and 35365 is 11.

Also check out the Least Common Multiple of 35354 and 35365