What is the Greatest Common Factor of 84296 and 84300?

Greatest common factor (GCF) of 84296 and 84300 is 4.

GCF(84296,84300) = 4

We will now calculate the prime factors of 84296 and 84300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84296 and 84300.

How to find the GCF of 84296 and 84300?

We will first find the prime factorization of 84296 and 84300. After we will calculate the factors of 84296 and 84300 and find the biggest common factor number .

Step-1: Prime Factorization of 84296

Prime factors of 84296 are 2, 41, 257. Prime factorization of 84296 in exponential form is:

84296 = 2³ × 41¹ × 257¹

Step-2: 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-3: Factors of 84296

List of positive integer factors of 84296 that divides 84296 without a remainder.

1, 2, 4, 8, 41, 82, 164, 257, 328, 514, 1028, 2056, 10537, 21074, 42148

Step-4: Factors of 84300

List of positive integer factors of 84300 that divides 84296 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84296 and 84300. The biggest common factor number is the GCF number.
So the greatest common factor 84296 and 84300 is 4.

Also check out the Least Common Multiple of 84296 and 84300