What is the Greatest Common Factor of 83402 and 83413?

Greatest common factor (GCF) of 83402 and 83413 is 11.

GCF(83402,83413) = 11

We will now calculate the prime factors of 83402 and 83413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83402 and 83413.

How to find the GCF of 83402 and 83413?

We will first find the prime factorization of 83402 and 83413. After we will calculate the factors of 83402 and 83413 and find the biggest common factor number .

Step-1: Prime Factorization of 83402

Prime factors of 83402 are 2, 11, 17, 223. Prime factorization of 83402 in exponential form is:

83402 = 2¹ × 11¹ × 17¹ × 223¹

Step-2: Prime Factorization of 83413

Prime factors of 83413 are 11, 7583. Prime factorization of 83413 in exponential form is:

83413 = 11¹ × 7583¹

Step-3: Factors of 83402

List of positive integer factors of 83402 that divides 83402 without a remainder.

1, 2, 11, 17, 22, 34, 187, 223, 374, 446, 2453, 3791, 4906, 7582, 41701

Step-4: Factors of 83413

List of positive integer factors of 83413 that divides 83402 without a remainder.

1, 11, 7583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83402 and 83413. The biggest common factor number is the GCF number.
So the greatest common factor 83402 and 83413 is 11.

Also check out the Least Common Multiple of 83402 and 83413