What is the Greatest Common Factor of 84072 and 84084?

Greatest common factor (GCF) of 84072 and 84084 is 12.

GCF(84072,84084) = 12

We will now calculate the prime factors of 84072 and 84084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84072 and 84084.

How to find the GCF of 84072 and 84084?

We will first find the prime factorization of 84072 and 84084. After we will calculate the factors of 84072 and 84084 and find the biggest common factor number .

Step-1: Prime Factorization of 84072

Prime factors of 84072 are 2, 3, 31, 113. Prime factorization of 84072 in exponential form is:

84072 = 2³ × 3¹ × 31¹ × 113¹

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 84072

List of positive integer factors of 84072 that divides 84072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 113, 124, 186, 226, 248, 339, 372, 452, 678, 744, 904, 1356, 2712, 3503, 7006, 10509, 14012, 21018, 28024, 42036

Step-4: Factors of 84084

List of positive integer factors of 84084 that divides 84072 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 84072 and 84084. The biggest common factor number is the GCF number.
So the greatest common factor 84072 and 84084 is 12.

Also check out the Least Common Multiple of 84072 and 84084