What is the Greatest Common Factor of 83432 and 83442?

Greatest common factor (GCF) of 83432 and 83442 is 2.

GCF(83432,83442) = 2

We will now calculate the prime factors of 83432 and 83442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83432 and 83442.

How to find the GCF of 83432 and 83442?

We will first find the prime factorization of 83432 and 83442. After we will calculate the factors of 83432 and 83442 and find the biggest common factor number .

Step-1: Prime Factorization of 83432

Prime factors of 83432 are 2, 10429. Prime factorization of 83432 in exponential form is:

83432 = 2³ × 10429¹

Step-2: Prime Factorization of 83442

Prime factors of 83442 are 2, 3, 13907. Prime factorization of 83442 in exponential form is:

83442 = 2¹ × 3¹ × 13907¹

Step-3: Factors of 83432

List of positive integer factors of 83432 that divides 83432 without a remainder.

1, 2, 4, 8, 10429, 20858, 41716

Step-4: Factors of 83442

List of positive integer factors of 83442 that divides 83432 without a remainder.

1, 2, 3, 6, 13907, 27814, 41721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83432 and 83442. The biggest common factor number is the GCF number.
So the greatest common factor 83432 and 83442 is 2.

Also check out the Least Common Multiple of 83432 and 83442