What is the Greatest Common Factor of 83445 and 83452?

Greatest common factor (GCF) of 83445 and 83452 is 1.

GCF(83445,83452) = 1

We will now calculate the prime factors of 83445 and 83452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83445 and 83452.

How to find the GCF of 83445 and 83452?

We will first find the prime factorization of 83445 and 83452. After we will calculate the factors of 83445 and 83452 and find the biggest common factor number .

Step-1: Prime Factorization of 83445

Prime factors of 83445 are 3, 5, 5563. Prime factorization of 83445 in exponential form is:

83445 = 3¹ × 5¹ × 5563¹

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 83445

List of positive integer factors of 83445 that divides 83445 without a remainder.

1, 3, 5, 15, 5563, 16689, 27815

Step-4: Factors of 83452

List of positive integer factors of 83452 that divides 83445 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 83445 and 83452. The biggest common factor number is the GCF number.
So the greatest common factor 83445 and 83452 is 1.

Also check out the Least Common Multiple of 83445 and 83452