What is the Greatest Common Factor of 86436 and 86448?

Greatest common factor (GCF) of 86436 and 86448 is 12.

GCF(86436,86448) = 12

We will now calculate the prime factors of 86436 and 86448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86436 and 86448.

How to find the GCF of 86436 and 86448?

We will first find the prime factorization of 86436 and 86448. After we will calculate the factors of 86436 and 86448 and find the biggest common factor number .

Step-1: Prime Factorization of 86436

Prime factors of 86436 are 2, 3, 7. Prime factorization of 86436 in exponential form is:

86436 = 2² × 3² × 7⁴

Step-2: Prime Factorization of 86448

Prime factors of 86448 are 2, 3, 1801. Prime factorization of 86448 in exponential form is:

86448 = 2⁴ × 3¹ × 1801¹

Step-3: Factors of 86436

List of positive integer factors of 86436 that divides 86436 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 343, 441, 588, 686, 882, 1029, 1372, 1764, 2058, 2401, 3087, 4116, 4802, 6174, 7203, 9604, 12348, 14406, 21609, 28812, 43218

Step-4: Factors of 86448

List of positive integer factors of 86448 that divides 86436 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1801, 3602, 5403, 7204, 10806, 14408, 21612, 28816, 43224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86436 and 86448. The biggest common factor number is the GCF number.
So the greatest common factor 86436 and 86448 is 12.

Also check out the Least Common Multiple of 86436 and 86448