What is the Greatest Common Factor of 84084 and 84101?

Greatest common factor (GCF) of 84084 and 84101 is 1.

GCF(84084,84101) = 1

We will now calculate the prime factors of 84084 and 84101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84084 and 84101.

How to find the GCF of 84084 and 84101?

We will first find the prime factorization of 84084 and 84101. After we will calculate the factors of 84084 and 84101 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 84101

Prime factors of 84101 are 37, 2273. Prime factorization of 84101 in exponential form is:

84101 = 37¹ × 2273¹

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 84101

List of positive integer factors of 84101 that divides 84084 without a remainder.

1, 37, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84084 and 84101. The biggest common factor number is the GCF number.
So the greatest common factor 84084 and 84101 is 1.

Also check out the Least Common Multiple of 84084 and 84101