What is the Greatest Common Factor of 38442 and 38460?

Greatest common factor (GCF) of 38442 and 38460 is 6.

GCF(38442,38460) = 6

We will now calculate the prime factors of 38442 and 38460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38442 and 38460.

How to find the GCF of 38442 and 38460?

We will first find the prime factorization of 38442 and 38460. After we will calculate the factors of 38442 and 38460 and find the biggest common factor number .

Step-1: Prime Factorization of 38442

Prime factors of 38442 are 2, 3, 43, 149. Prime factorization of 38442 in exponential form is:

38442 = 2¹ × 3¹ × 43¹ × 149¹

Step-2: Prime Factorization of 38460

Prime factors of 38460 are 2, 3, 5, 641. Prime factorization of 38460 in exponential form is:

38460 = 2² × 3¹ × 5¹ × 641¹

Step-3: Factors of 38442

List of positive integer factors of 38442 that divides 38442 without a remainder.

1, 2, 3, 6, 43, 86, 129, 149, 258, 298, 447, 894, 6407, 12814, 19221

Step-4: Factors of 38460

List of positive integer factors of 38460 that divides 38442 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 641, 1282, 1923, 2564, 3205, 3846, 6410, 7692, 9615, 12820, 19230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38442 and 38460. The biggest common factor number is the GCF number.
So the greatest common factor 38442 and 38460 is 6.

Also check out the Least Common Multiple of 38442 and 38460