What is the Greatest Common Factor of 68382 and 68402?

Greatest common factor (GCF) of 68382 and 68402 is 2.

GCF(68382,68402) = 2

We will now calculate the prime factors of 68382 and 68402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68382 and 68402.

How to find the GCF of 68382 and 68402?

We will first find the prime factorization of 68382 and 68402. After we will calculate the factors of 68382 and 68402 and find the biggest common factor number .

Step-1: Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 2¹ × 3² × 29¹ × 131¹

Step-2: Prime Factorization of 68402

Prime factors of 68402 are 2, 23, 1487. Prime factorization of 68402 in exponential form is:

68402 = 2¹ × 23¹ × 1487¹

Step-3: Factors of 68382

List of positive integer factors of 68382 that divides 68382 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 131, 174, 261, 262, 393, 522, 786, 1179, 2358, 3799, 7598, 11397, 22794, 34191

Step-4: Factors of 68402

List of positive integer factors of 68402 that divides 68382 without a remainder.

1, 2, 23, 46, 1487, 2974, 34201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68382 and 68402. The biggest common factor number is the GCF number.
So the greatest common factor 68382 and 68402 is 2.

Also check out the Least Common Multiple of 68382 and 68402