What is the Greatest Common Factor of 86434 and 86448?

Greatest common factor (GCF) of 86434 and 86448 is 2.

GCF(86434,86448) = 2

We will now calculate the prime factors of 86434 and 86448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86434 and 86448.

How to find the GCF of 86434 and 86448?

We will first find the prime factorization of 86434 and 86448. After we will calculate the factors of 86434 and 86448 and find the biggest common factor number .

Step-1: Prime Factorization of 86434

Prime factors of 86434 are 2, 23, 1879. Prime factorization of 86434 in exponential form is:

86434 = 2¹ × 23¹ × 1879¹

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 86434

List of positive integer factors of 86434 that divides 86434 without a remainder.

1, 2, 23, 46, 1879, 3758, 43217

Step-4: Factors of 86448

List of positive integer factors of 86448 that divides 86434 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 86434 and 86448. The biggest common factor number is the GCF number.
So the greatest common factor 86434 and 86448 is 2.

Also check out the Least Common Multiple of 86434 and 86448