What is the Greatest Common Factor of 84084 and 84095?

Greatest common factor (GCF) of 84084 and 84095 is 11.

GCF(84084,84095) = 11

We will now calculate the prime factors of 84084 and 84095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84084 and 84095.

How to find the GCF of 84084 and 84095?

We will first find the prime factorization of 84084 and 84095. After we will calculate the factors of 84084 and 84095 and find the biggest common factor number .

Step-1: Prime Factorization of 84084

Prime factors of 84084 are 2, 3, 7, 11, 13. Prime factorization of 84084 in exponential form is:

84084 = 2² × 3¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 84095

Prime factors of 84095 are 5, 11, 139. Prime factorization of 84095 in exponential form is:

84095 = 5¹ × 11² × 139¹

Step-3: Factors of 84084

List of positive integer factors of 84084 that divides 84084 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 13, 14, 21, 22, 26, 28, 33, 39, 42, 44, 49, 52, 66, 77, 78, 84, 91, 98, 132, 143, 147, 154, 156, 182, 196, 231, 273, 286, 294, 308, 364, 429, 462, 539, 546, 572, 588, 637, 858, 924, 1001, 1078, 1092, 1274, 1617, 1716, 1911, 2002, 2156, 2548, 3003, 3234, 3822, 4004, 6006, 6468, 7007, 7644, 12012, 14014, 21021, 28028, 42042

Step-4: Factors of 84095

List of positive integer factors of 84095 that divides 84084 without a remainder.

1, 5, 11, 55, 121, 139, 605, 695, 1529, 7645, 16819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84084 and 84095. The biggest common factor number is the GCF number.
So the greatest common factor 84084 and 84095 is 11.

Also check out the Least Common Multiple of 84084 and 84095