What is the Greatest Common Factor of 35205 and 35211?

Greatest common factor (GCF) of 35205 and 35211 is 3.

GCF(35205,35211) = 3

We will now calculate the prime factors of 35205 and 35211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35205 and 35211.

How to find the GCF of 35205 and 35211?

We will first find the prime factorization of 35205 and 35211. After we will calculate the factors of 35205 and 35211 and find the biggest common factor number .

Step-1: Prime Factorization of 35205

Prime factors of 35205 are 3, 5, 2347. Prime factorization of 35205 in exponential form is:

35205 = 3¹ × 5¹ × 2347¹

Step-2: Prime Factorization of 35211

Prime factors of 35211 are 3, 11, 97. Prime factorization of 35211 in exponential form is:

35211 = 3¹ × 11² × 97¹

Step-3: Factors of 35205

List of positive integer factors of 35205 that divides 35205 without a remainder.

1, 3, 5, 15, 2347, 7041, 11735

Step-4: Factors of 35211

List of positive integer factors of 35211 that divides 35205 without a remainder.

1, 3, 11, 33, 97, 121, 291, 363, 1067, 3201, 11737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35205 and 35211. The biggest common factor number is the GCF number.
So the greatest common factor 35205 and 35211 is 3.

Also check out the Least Common Multiple of 35205 and 35211