What is the Greatest Common Factor of 68362 and 68381?

Greatest common factor (GCF) of 68362 and 68381 is 19.

GCF(68362,68381) = 19

We will now calculate the prime factors of 68362 and 68381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68362 and 68381.

How to find the GCF of 68362 and 68381?

We will first find the prime factorization of 68362 and 68381. After we will calculate the factors of 68362 and 68381 and find the biggest common factor number .

Step-1: Prime Factorization of 68362

Prime factors of 68362 are 2, 7, 19, 257. Prime factorization of 68362 in exponential form is:

68362 = 2¹ × 7¹ × 19¹ × 257¹

Step-2: Prime Factorization of 68381

Prime factors of 68381 are 19, 59, 61. Prime factorization of 68381 in exponential form is:

68381 = 19¹ × 59¹ × 61¹

Step-3: Factors of 68362

List of positive integer factors of 68362 that divides 68362 without a remainder.

1, 2, 7, 14, 19, 38, 133, 257, 266, 514, 1799, 3598, 4883, 9766, 34181

Step-4: Factors of 68381

List of positive integer factors of 68381 that divides 68362 without a remainder.

1, 19, 59, 61, 1121, 1159, 3599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68362 and 68381. The biggest common factor number is the GCF number.
So the greatest common factor 68362 and 68381 is 19.

Also check out the Least Common Multiple of 68362 and 68381