What is the Greatest Common Factor of 32284 and 32300?

Greatest common factor (GCF) of 32284 and 32300 is 4.

GCF(32284,32300) = 4

We will now calculate the prime factors of 32284 and 32300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32284 and 32300.

How to find the GCF of 32284 and 32300?

We will first find the prime factorization of 32284 and 32300. After we will calculate the factors of 32284 and 32300 and find the biggest common factor number .

Step-1: Prime Factorization of 32284

Prime factors of 32284 are 2, 7, 1153. Prime factorization of 32284 in exponential form is:

32284 = 2² × 7¹ × 1153¹

Step-2: Prime Factorization of 32300

Prime factors of 32300 are 2, 5, 17, 19. Prime factorization of 32300 in exponential form is:

32300 = 2² × 5² × 17¹ × 19¹

Step-3: Factors of 32284

List of positive integer factors of 32284 that divides 32284 without a remainder.

1, 2, 4, 7, 14, 28, 1153, 2306, 4612, 8071, 16142

Step-4: Factors of 32300

List of positive integer factors of 32300 that divides 32284 without a remainder.

1, 2, 4, 5, 10, 17, 19, 20, 25, 34, 38, 50, 68, 76, 85, 95, 100, 170, 190, 323, 340, 380, 425, 475, 646, 850, 950, 1292, 1615, 1700, 1900, 3230, 6460, 8075, 16150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32284 and 32300. The biggest common factor number is the GCF number.
So the greatest common factor 32284 and 32300 is 4.

Also check out the Least Common Multiple of 32284 and 32300