What is the Greatest Common Factor of 86432 and 86438?

Greatest common factor (GCF) of 86432 and 86438 is 2.

GCF(86432,86438) = 2

We will now calculate the prime factors of 86432 and 86438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86432 and 86438.

How to find the GCF of 86432 and 86438?

We will first find the prime factorization of 86432 and 86438. After we will calculate the factors of 86432 and 86438 and find the biggest common factor number .

Step-1: Prime Factorization of 86432

Prime factors of 86432 are 2, 37, 73. Prime factorization of 86432 in exponential form is:

86432 = 2⁵ × 37¹ × 73¹

Step-2: Prime Factorization of 86438

Prime factors of 86438 are 2, 11, 3929. Prime factorization of 86438 in exponential form is:

86438 = 2¹ × 11¹ × 3929¹

Step-3: Factors of 86432

List of positive integer factors of 86432 that divides 86432 without a remainder.

1, 2, 4, 8, 16, 32, 37, 73, 74, 146, 148, 292, 296, 584, 592, 1168, 1184, 2336, 2701, 5402, 10804, 21608, 43216

Step-4: Factors of 86438

List of positive integer factors of 86438 that divides 86432 without a remainder.

1, 2, 11, 22, 3929, 7858, 43219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86432 and 86438. The biggest common factor number is the GCF number.
So the greatest common factor 86432 and 86438 is 2.

Also check out the Least Common Multiple of 86432 and 86438