What is the Greatest Common Factor of 84351 and 84360?

Greatest common factor (GCF) of 84351 and 84360 is 3.

GCF(84351,84360) = 3

We will now calculate the prime factors of 84351 and 84360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84351 and 84360.

How to find the GCF of 84351 and 84360?

We will first find the prime factorization of 84351 and 84360. After we will calculate the factors of 84351 and 84360 and find the biggest common factor number .

Step-1: Prime Factorization of 84351

Prime factors of 84351 are 3, 31, 907. Prime factorization of 84351 in exponential form is:

84351 = 3¹ × 31¹ × 907¹

Step-2: Prime Factorization of 84360

Prime factors of 84360 are 2, 3, 5, 19, 37. Prime factorization of 84360 in exponential form is:

84360 = 2³ × 3¹ × 5¹ × 19¹ × 37¹

Step-3: Factors of 84351

List of positive integer factors of 84351 that divides 84351 without a remainder.

1, 3, 31, 93, 907, 2721, 28117

Step-4: Factors of 84360

List of positive integer factors of 84360 that divides 84351 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 37, 38, 40, 57, 60, 74, 76, 95, 111, 114, 120, 148, 152, 185, 190, 222, 228, 285, 296, 370, 380, 444, 456, 555, 570, 703, 740, 760, 888, 1110, 1140, 1406, 1480, 2109, 2220, 2280, 2812, 3515, 4218, 4440, 5624, 7030, 8436, 10545, 14060, 16872, 21090, 28120, 42180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84351 and 84360. The biggest common factor number is the GCF number.
So the greatest common factor 84351 and 84360 is 3.

Also check out the Least Common Multiple of 84351 and 84360