What is the Greatest Common Factor of 84300 and 84311?

Greatest common factor (GCF) of 84300 and 84311 is 1.

GCF(84300,84311) = 1

We will now calculate the prime factors of 84300 and 84311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84300 and 84311.

How to find the GCF of 84300 and 84311?

We will first find the prime factorization of 84300 and 84311. After we will calculate the factors of 84300 and 84311 and find the biggest common factor number .

Step-1: Prime Factorization of 84300

Prime factors of 84300 are 2, 3, 5, 281. Prime factorization of 84300 in exponential form is:

84300 = 2² × 3¹ × 5² × 281¹

Step-2: Prime Factorization of 84311

Prime factors of 84311 are 59, 1429. Prime factorization of 84311 in exponential form is:

84311 = 59¹ × 1429¹

Step-3: Factors of 84300

List of positive integer factors of 84300 that divides 84300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 281, 300, 562, 843, 1124, 1405, 1686, 2810, 3372, 4215, 5620, 7025, 8430, 14050, 16860, 21075, 28100, 42150

Step-4: Factors of 84311

List of positive integer factors of 84311 that divides 84300 without a remainder.

1, 59, 1429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84300 and 84311. The biggest common factor number is the GCF number.
So the greatest common factor 84300 and 84311 is 1.

Also check out the Least Common Multiple of 84300 and 84311