What is the Greatest Common Factor of 35213 and 35232?

Greatest common factor (GCF) of 35213 and 35232 is 1.

GCF(35213,35232) = 1

We will now calculate the prime factors of 35213 and 35232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35213 and 35232.

How to find the GCF of 35213 and 35232?

We will first find the prime factorization of 35213 and 35232. After we will calculate the factors of 35213 and 35232 and find the biggest common factor number .

Step-1: Prime Factorization of 35213

Prime factors of 35213 are 23, 1531. Prime factorization of 35213 in exponential form is:

35213 = 23¹ × 1531¹

Step-2: Prime Factorization of 35232

Prime factors of 35232 are 2, 3, 367. Prime factorization of 35232 in exponential form is:

35232 = 2⁵ × 3¹ × 367¹

Step-3: Factors of 35213

List of positive integer factors of 35213 that divides 35213 without a remainder.

1, 23, 1531

Step-4: Factors of 35232

List of positive integer factors of 35232 that divides 35213 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808, 11744, 17616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35213 and 35232. The biggest common factor number is the GCF number.
So the greatest common factor 35213 and 35232 is 1.

Also check out the Least Common Multiple of 35213 and 35232