What is the Greatest Common Factor of 84073 and 84084?

Greatest common factor (GCF) of 84073 and 84084 is 11.

GCF(84073,84084) = 11

We will now calculate the prime factors of 84073 and 84084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84073 and 84084.

How to find the GCF of 84073 and 84084?

We will first find the prime factorization of 84073 and 84084. After we will calculate the factors of 84073 and 84084 and find the biggest common factor number .

Step-1: Prime Factorization of 84073

Prime factors of 84073 are 11, 7643. Prime factorization of 84073 in exponential form is:

84073 = 11¹ × 7643¹

Step-2: 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-3: Factors of 84073

List of positive integer factors of 84073 that divides 84073 without a remainder.

1, 11, 7643

Step-4: Factors of 84084

List of positive integer factors of 84084 that divides 84073 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84073 and 84084. The biggest common factor number is the GCF number.
So the greatest common factor 84073 and 84084 is 11.

Also check out the Least Common Multiple of 84073 and 84084