What is the Greatest Common Factor of 84054 and 84072?

Greatest common factor (GCF) of 84054 and 84072 is 6.

GCF(84054,84072) = 6

We will now calculate the prime factors of 84054 and 84072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84054 and 84072.

How to find the GCF of 84054 and 84072?

We will first find the prime factorization of 84054 and 84072. After we will calculate the factors of 84054 and 84072 and find the biggest common factor number .

Step-1: Prime Factorization of 84054

Prime factors of 84054 are 2, 3, 14009. Prime factorization of 84054 in exponential form is:

84054 = 2¹ × 3¹ × 14009¹

Step-2: 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-3: Factors of 84054

List of positive integer factors of 84054 that divides 84054 without a remainder.

1, 2, 3, 6, 14009, 28018, 42027

Step-4: Factors of 84072

List of positive integer factors of 84072 that divides 84054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84054 and 84072. The biggest common factor number is the GCF number.
So the greatest common factor 84054 and 84072 is 6.

Also check out the Least Common Multiple of 84054 and 84072