What is the Greatest Common Factor of 68237 and 68244?

Greatest common factor (GCF) of 68237 and 68244 is 1.

GCF(68237,68244) = 1

We will now calculate the prime factors of 68237 and 68244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68237 and 68244.

How to find the GCF of 68237 and 68244?

We will first find the prime factorization of 68237 and 68244. After we will calculate the factors of 68237 and 68244 and find the biggest common factor number .

Step-1: Prime Factorization of 68237

Prime factors of 68237 are 13, 29, 181. Prime factorization of 68237 in exponential form is:

68237 = 13¹ × 29¹ × 181¹

Step-2: Prime Factorization of 68244

Prime factors of 68244 are 2, 3, 11, 47. Prime factorization of 68244 in exponential form is:

68244 = 2² × 3¹ × 11² × 47¹

Step-3: Factors of 68237

List of positive integer factors of 68237 that divides 68237 without a remainder.

1, 13, 29, 181, 377, 2353, 5249

Step-4: Factors of 68244

List of positive integer factors of 68244 that divides 68237 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 121, 132, 141, 188, 242, 282, 363, 484, 517, 564, 726, 1034, 1452, 1551, 2068, 3102, 5687, 6204, 11374, 17061, 22748, 34122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68237 and 68244. The biggest common factor number is the GCF number.
So the greatest common factor 68237 and 68244 is 1.

Also check out the Least Common Multiple of 68237 and 68244