What is the Greatest Common Factor of 84456 and 84468?

Greatest common factor (GCF) of 84456 and 84468 is 12.

GCF(84456,84468) = 12

We will now calculate the prime factors of 84456 and 84468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84456 and 84468.

How to find the GCF of 84456 and 84468?

We will first find the prime factorization of 84456 and 84468. After we will calculate the factors of 84456 and 84468 and find the biggest common factor number .

Step-1: Prime Factorization of 84456

Prime factors of 84456 are 2, 3, 17, 23. Prime factorization of 84456 in exponential form is:

84456 = 2³ × 3³ × 17¹ × 23¹

Step-2: Prime Factorization of 84468

Prime factors of 84468 are 2, 3, 7039. Prime factorization of 84468 in exponential form is:

84468 = 2² × 3¹ × 7039¹

Step-3: Factors of 84456

List of positive integer factors of 84456 that divides 84456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 23, 24, 27, 34, 36, 46, 51, 54, 68, 69, 72, 92, 102, 108, 136, 138, 153, 184, 204, 207, 216, 276, 306, 391, 408, 414, 459, 552, 612, 621, 782, 828, 918, 1173, 1224, 1242, 1564, 1656, 1836, 2346, 2484, 3128, 3519, 3672, 4692, 4968, 7038, 9384, 10557, 14076, 21114, 28152, 42228

Step-4: Factors of 84468

List of positive integer factors of 84468 that divides 84456 without a remainder.

1, 2, 3, 4, 6, 12, 7039, 14078, 21117, 28156, 42234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84456 and 84468. The biggest common factor number is the GCF number.
So the greatest common factor 84456 and 84468 is 12.

Also check out the Least Common Multiple of 84456 and 84468