What is the Greatest Common Factor of 20370 and 20384?

Greatest common factor (GCF) of 20370 and 20384 is 14.

GCF(20370,20384) = 14

We will now calculate the prime factors of 20370 and 20384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20370 and 20384.

How to find the GCF of 20370 and 20384?

We will first find the prime factorization of 20370 and 20384. After we will calculate the factors of 20370 and 20384 and find the biggest common factor number .

Step-1: Prime Factorization of 20370

Prime factors of 20370 are 2, 3, 5, 7, 97. Prime factorization of 20370 in exponential form is:

20370 = 2¹ × 3¹ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 20384

Prime factors of 20384 are 2, 7, 13. Prime factorization of 20384 in exponential form is:

20384 = 2⁵ × 7² × 13¹

Step-3: Factors of 20370

List of positive integer factors of 20370 that divides 20370 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 97, 105, 194, 210, 291, 485, 582, 679, 970, 1358, 1455, 2037, 2910, 3395, 4074, 6790, 10185

Step-4: Factors of 20384

List of positive integer factors of 20384 that divides 20370 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20370 and 20384. The biggest common factor number is the GCF number.
So the greatest common factor 20370 and 20384 is 14.

Also check out the Least Common Multiple of 20370 and 20384