What is the Greatest Common Factor of 35232 and 35238?

Greatest common factor (GCF) of 35232 and 35238 is 6.

GCF(35232,35238) = 6

We will now calculate the prime factors of 35232 and 35238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35232 and 35238.

How to find the GCF of 35232 and 35238?

We will first find the prime factorization of 35232 and 35238. After we will calculate the factors of 35232 and 35238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35238

Prime factors of 35238 are 2, 3, 7, 839. Prime factorization of 35238 in exponential form is:

35238 = 2¹ × 3¹ × 7¹ × 839¹

Step-3: Factors of 35232

List of positive integer factors of 35232 that divides 35232 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

Step-4: Factors of 35238

List of positive integer factors of 35238 that divides 35232 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 839, 1678, 2517, 5034, 5873, 11746, 17619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35232 and 35238. The biggest common factor number is the GCF number.
So the greatest common factor 35232 and 35238 is 6.

Also check out the Least Common Multiple of 35232 and 35238