What is the Greatest Common Factor of 35288 and 35305?

Greatest common factor (GCF) of 35288 and 35305 is 1.

GCF(35288,35305) = 1

We will now calculate the prime factors of 35288 and 35305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35288 and 35305.

How to find the GCF of 35288 and 35305?

We will first find the prime factorization of 35288 and 35305. After we will calculate the factors of 35288 and 35305 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 35305

Prime factors of 35305 are 5, 23, 307. Prime factorization of 35305 in exponential form is:

35305 = 5¹ × 23¹ × 307¹

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 35305

List of positive integer factors of 35305 that divides 35288 without a remainder.

1, 5, 23, 115, 307, 1535, 7061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35288 and 35305. The biggest common factor number is the GCF number.
So the greatest common factor 35288 and 35305 is 1.

Also check out the Least Common Multiple of 35288 and 35305