What is the Greatest Common Factor of 20356 and 20370?

Greatest common factor (GCF) of 20356 and 20370 is 14.

GCF(20356,20370) = 14

We will now calculate the prime factors of 20356 and 20370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20356 and 20370.

How to find the GCF of 20356 and 20370?

We will first find the prime factorization of 20356 and 20370. After we will calculate the factors of 20356 and 20370 and find the biggest common factor number .

Step-1: Prime Factorization of 20356

Prime factors of 20356 are 2, 7, 727. Prime factorization of 20356 in exponential form is:

20356 = 2² × 7¹ × 727¹

Step-2: 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-3: Factors of 20356

List of positive integer factors of 20356 that divides 20356 without a remainder.

1, 2, 4, 7, 14, 28, 727, 1454, 2908, 5089, 10178

Step-4: Factors of 20370

List of positive integer factors of 20370 that divides 20356 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20356 and 20370. The biggest common factor number is the GCF number.
So the greatest common factor 20356 and 20370 is 14.

Also check out the Least Common Multiple of 20356 and 20370