What is the Greatest Common Factor of 35288 and 35299?

Greatest common factor (GCF) of 35288 and 35299 is 11.

GCF(35288,35299) = 11

We will now calculate the prime factors of 35288 and 35299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35288 and 35299.

How to find the GCF of 35288 and 35299?

We will first find the prime factorization of 35288 and 35299. After we will calculate the factors of 35288 and 35299 and find the biggest common factor number .

Step-1: Prime Factorization of 35288

Prime factors of 35288 are 2, 11, 401. Prime factorization of 35288 in exponential form is:

35288 = 2³ × 11¹ × 401¹

Step-2: Prime Factorization of 35299

Prime factors of 35299 are 11, 3209. Prime factorization of 35299 in exponential form is:

35299 = 11¹ × 3209¹

Step-3: Factors of 35288

List of positive integer factors of 35288 that divides 35288 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 401, 802, 1604, 3208, 4411, 8822, 17644

Step-4: Factors of 35299

List of positive integer factors of 35299 that divides 35288 without a remainder.

1, 11, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35288 and 35299. The biggest common factor number is the GCF number.
So the greatest common factor 35288 and 35299 is 11.

Also check out the Least Common Multiple of 35288 and 35299