What is the Greatest Common Factor of 86422 and 86432?

Greatest common factor (GCF) of 86422 and 86432 is 2.

GCF(86422,86432) = 2

We will now calculate the prime factors of 86422 and 86432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86422 and 86432.

How to find the GCF of 86422 and 86432?

We will first find the prime factorization of 86422 and 86432. After we will calculate the factors of 86422 and 86432 and find the biggest common factor number .

Step-1: Prime Factorization of 86422

Prime factors of 86422 are 2, 7, 6173. Prime factorization of 86422 in exponential form is:

86422 = 2¹ × 7¹ × 6173¹

Step-2: 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-3: Factors of 86422

List of positive integer factors of 86422 that divides 86422 without a remainder.

1, 2, 7, 14, 6173, 12346, 43211

Step-4: Factors of 86432

List of positive integer factors of 86432 that divides 86422 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86422 and 86432. The biggest common factor number is the GCF number.
So the greatest common factor 86422 and 86432 is 2.

Also check out the Least Common Multiple of 86422 and 86432