What is the Greatest Common Factor of 35223 and 35235?

Greatest common factor (GCF) of 35223 and 35235 is 3.

GCF(35223,35235) = 3

We will now calculate the prime factors of 35223 and 35235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35223 and 35235.

How to find the GCF of 35223 and 35235?

We will first find the prime factorization of 35223 and 35235. After we will calculate the factors of 35223 and 35235 and find the biggest common factor number .

Step-1: Prime Factorization of 35223

Prime factors of 35223 are 3, 59, 199. Prime factorization of 35223 in exponential form is:

35223 = 3¹ × 59¹ × 199¹

Step-2: Prime Factorization of 35235

Prime factors of 35235 are 3, 5, 29. Prime factorization of 35235 in exponential form is:

35235 = 3⁵ × 5¹ × 29¹

Step-3: Factors of 35223

List of positive integer factors of 35223 that divides 35223 without a remainder.

1, 3, 59, 177, 199, 597, 11741

Step-4: Factors of 35235

List of positive integer factors of 35235 that divides 35223 without a remainder.

1, 3, 5, 9, 15, 27, 29, 45, 81, 87, 135, 145, 243, 261, 405, 435, 783, 1215, 1305, 2349, 3915, 7047, 11745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35223 and 35235. The biggest common factor number is the GCF number.
So the greatest common factor 35223 and 35235 is 3.

Also check out the Least Common Multiple of 35223 and 35235