What is the Greatest Common Factor of 83432 and 83452?

Greatest common factor (GCF) of 83432 and 83452 is 4.

GCF(83432,83452) = 4

We will now calculate the prime factors of 83432 and 83452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83432 and 83452.

How to find the GCF of 83432 and 83452?

We will first find the prime factorization of 83432 and 83452. After we will calculate the factors of 83432 and 83452 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 83452

Prime factors of 83452 are 2, 31, 673. Prime factorization of 83452 in exponential form is:

83452 = 2² × 31¹ × 673¹

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 83452

List of positive integer factors of 83452 that divides 83432 without a remainder.

1, 2, 4, 31, 62, 124, 673, 1346, 2692, 20863, 41726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83432 and 83452. The biggest common factor number is the GCF number.
So the greatest common factor 83432 and 83452 is 4.

Also check out the Least Common Multiple of 83432 and 83452