What is the Greatest Common Factor of 20710 and 20720?

Greatest common factor (GCF) of 20710 and 20720 is 10.

GCF(20710,20720) = 10

We will now calculate the prime factors of 20710 and 20720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20710 and 20720.

How to find the GCF of 20710 and 20720?

We will first find the prime factorization of 20710 and 20720. After we will calculate the factors of 20710 and 20720 and find the biggest common factor number .

Step-1: Prime Factorization of 20710

Prime factors of 20710 are 2, 5, 19, 109. Prime factorization of 20710 in exponential form is:

20710 = 2¹ × 5¹ × 19¹ × 109¹

Step-2: Prime Factorization of 20720

Prime factors of 20720 are 2, 5, 7, 37. Prime factorization of 20720 in exponential form is:

20720 = 2⁴ × 5¹ × 7¹ × 37¹

Step-3: Factors of 20710

List of positive integer factors of 20710 that divides 20710 without a remainder.

1, 2, 5, 10, 19, 38, 95, 109, 190, 218, 545, 1090, 2071, 4142, 10355

Step-4: Factors of 20720

List of positive integer factors of 20720 that divides 20710 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 185, 259, 280, 296, 370, 518, 560, 592, 740, 1036, 1295, 1480, 2072, 2590, 2960, 4144, 5180, 10360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20710 and 20720. The biggest common factor number is the GCF number.
So the greatest common factor 20710 and 20720 is 10.

Also check out the Least Common Multiple of 20710 and 20720