What is the Greatest Common Factor of 84441 and 84456?

Greatest common factor (GCF) of 84441 and 84456 is 3.

GCF(84441,84456) = 3

We will now calculate the prime factors of 84441 and 84456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84441 and 84456.

How to find the GCF of 84441 and 84456?

We will first find the prime factorization of 84441 and 84456. After we will calculate the factors of 84441 and 84456 and find the biggest common factor number .

Step-1: Prime Factorization of 84441

Prime factors of 84441 are 3, 7, 4021. Prime factorization of 84441 in exponential form is:

84441 = 3¹ × 7¹ × 4021¹

Step-2: 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-3: Factors of 84441

List of positive integer factors of 84441 that divides 84441 without a remainder.

1, 3, 7, 21, 4021, 12063, 28147

Step-4: Factors of 84456

List of positive integer factors of 84456 that divides 84441 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84441 and 84456. The biggest common factor number is the GCF number.
So the greatest common factor 84441 and 84456 is 3.

Also check out the Least Common Multiple of 84441 and 84456