What is the Greatest Common Factor of 84072 and 84081?

Greatest common factor (GCF) of 84072 and 84081 is 3.

GCF(84072,84081) = 3

We will now calculate the prime factors of 84072 and 84081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84072 and 84081.

How to find the GCF of 84072 and 84081?

We will first find the prime factorization of 84072 and 84081. After we will calculate the factors of 84072 and 84081 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 84081

Prime factors of 84081 are 3, 28027. Prime factorization of 84081 in exponential form is:

84081 = 3¹ × 28027¹

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 84081

List of positive integer factors of 84081 that divides 84072 without a remainder.

1, 3, 28027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84072 and 84081. The biggest common factor number is the GCF number.
So the greatest common factor 84072 and 84081 is 3.

Also check out the Least Common Multiple of 84072 and 84081