What is the Greatest Common Factor of 32360 and 32368?

Greatest common factor (GCF) of 32360 and 32368 is 8.

GCF(32360,32368) = 8

We will now calculate the prime factors of 32360 and 32368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32360 and 32368.

How to find the GCF of 32360 and 32368?

We will first find the prime factorization of 32360 and 32368. After we will calculate the factors of 32360 and 32368 and find the biggest common factor number .

Step-1: Prime Factorization of 32360

Prime factors of 32360 are 2, 5, 809. Prime factorization of 32360 in exponential form is:

32360 = 2³ × 5¹ × 809¹

Step-2: Prime Factorization of 32368

Prime factors of 32368 are 2, 7, 17. Prime factorization of 32368 in exponential form is:

32368 = 2⁴ × 7¹ × 17²

Step-3: Factors of 32360

List of positive integer factors of 32360 that divides 32360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 809, 1618, 3236, 4045, 6472, 8090, 16180

Step-4: Factors of 32368

List of positive integer factors of 32368 that divides 32360 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 289, 476, 578, 952, 1156, 1904, 2023, 2312, 4046, 4624, 8092, 16184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32360 and 32368. The biggest common factor number is the GCF number.
So the greatest common factor 32360 and 32368 is 8.

Also check out the Least Common Multiple of 32360 and 32368