What is the Greatest Common Factor of 34287 and 34300?

Greatest common factor (GCF) of 34287 and 34300 is 1.

GCF(34287,34300) = 1

We will now calculate the prime factors of 34287 and 34300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34287 and 34300.

How to find the GCF of 34287 and 34300?

We will first find the prime factorization of 34287 and 34300. After we will calculate the factors of 34287 and 34300 and find the biggest common factor number .

Step-1: Prime Factorization of 34287

Prime factors of 34287 are 3, 11, 1039. Prime factorization of 34287 in exponential form is:

34287 = 3¹ × 11¹ × 1039¹

Step-2: Prime Factorization of 34300

Prime factors of 34300 are 2, 5, 7. Prime factorization of 34300 in exponential form is:

34300 = 2² × 5² × 7³

Step-3: Factors of 34287

List of positive integer factors of 34287 that divides 34287 without a remainder.

1, 3, 11, 33, 1039, 3117, 11429

Step-4: Factors of 34300

List of positive integer factors of 34300 that divides 34287 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 343, 350, 490, 686, 700, 980, 1225, 1372, 1715, 2450, 3430, 4900, 6860, 8575, 17150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34287 and 34300. The biggest common factor number is the GCF number.
So the greatest common factor 34287 and 34300 is 1.

Also check out the Least Common Multiple of 34287 and 34300