What is the Greatest Common Factor of 32368 and 32380?

Greatest common factor (GCF) of 32368 and 32380 is 4.

GCF(32368,32380) = 4

We will now calculate the prime factors of 32368 and 32380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32368 and 32380.

How to find the GCF of 32368 and 32380?

We will first find the prime factorization of 32368 and 32380. After we will calculate the factors of 32368 and 32380 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32380

Prime factors of 32380 are 2, 5, 1619. Prime factorization of 32380 in exponential form is:

32380 = 2² × 5¹ × 1619¹

Step-3: Factors of 32368

List of positive integer factors of 32368 that divides 32368 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

Step-4: Factors of 32380

List of positive integer factors of 32380 that divides 32368 without a remainder.

1, 2, 4, 5, 10, 20, 1619, 3238, 6476, 8095, 16190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32368 and 32380. The biggest common factor number is the GCF number.
So the greatest common factor 32368 and 32380 is 4.

Also check out the Least Common Multiple of 32368 and 32380