What is the Greatest Common Factor of 82383 and 82402?

Greatest common factor (GCF) of 82383 and 82402 is 1.

GCF(82383,82402) = 1

We will now calculate the prime factors of 82383 and 82402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82383 and 82402.

How to find the GCF of 82383 and 82402?

We will first find the prime factorization of 82383 and 82402. After we will calculate the factors of 82383 and 82402 and find the biggest common factor number .

Step-1: Prime Factorization of 82383

Prime factors of 82383 are 3, 7, 3923. Prime factorization of 82383 in exponential form is:

82383 = 3¹ × 7¹ × 3923¹

Step-2: Prime Factorization of 82402

Prime factors of 82402 are 2, 41201. Prime factorization of 82402 in exponential form is:

82402 = 2¹ × 41201¹

Step-3: Factors of 82383

List of positive integer factors of 82383 that divides 82383 without a remainder.

1, 3, 7, 21, 3923, 11769, 27461

Step-4: Factors of 82402

List of positive integer factors of 82402 that divides 82383 without a remainder.

1, 2, 41201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82383 and 82402. The biggest common factor number is the GCF number.
So the greatest common factor 82383 and 82402 is 1.

Also check out the Least Common Multiple of 82383 and 82402