What is the Greatest Common Factor of 20360 and 20370?

Greatest common factor (GCF) of 20360 and 20370 is 10.

GCF(20360,20370) = 10

We will now calculate the prime factors of 20360 and 20370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20360 and 20370.

How to find the GCF of 20360 and 20370?

We will first find the prime factorization of 20360 and 20370. After we will calculate the factors of 20360 and 20370 and find the biggest common factor number .

Step-1: Prime Factorization of 20360

Prime factors of 20360 are 2, 5, 509. Prime factorization of 20360 in exponential form is:

20360 = 2³ × 5¹ × 509¹

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 20360

List of positive integer factors of 20360 that divides 20360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 509, 1018, 2036, 2545, 4072, 5090, 10180

Step-4: Factors of 20370

List of positive integer factors of 20370 that divides 20360 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 20360 and 20370. The biggest common factor number is the GCF number.
So the greatest common factor 20360 and 20370 is 10.

Also check out the Least Common Multiple of 20360 and 20370