What is the Greatest Common Factor of 84084 and 84091?

Greatest common factor (GCF) of 84084 and 84091 is 7.

GCF(84084,84091) = 7

We will now calculate the prime factors of 84084 and 84091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84084 and 84091.

How to find the GCF of 84084 and 84091?

We will first find the prime factorization of 84084 and 84091. After we will calculate the factors of 84084 and 84091 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 84091

Prime factors of 84091 are 7, 41, 293. Prime factorization of 84091 in exponential form is:

84091 = 7¹ × 41¹ × 293¹

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 84091

List of positive integer factors of 84091 that divides 84084 without a remainder.

1, 7, 41, 287, 293, 2051, 12013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84084 and 84091. The biggest common factor number is the GCF number.
So the greatest common factor 84084 and 84091 is 7.

Also check out the Least Common Multiple of 84084 and 84091