What is the Greatest Common Factor of 20470 and 20490?

Greatest common factor (GCF) of 20470 and 20490 is 10.

GCF(20470,20490) = 10

We will now calculate the prime factors of 20470 and 20490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20470 and 20490.

How to find the GCF of 20470 and 20490?

We will first find the prime factorization of 20470 and 20490. After we will calculate the factors of 20470 and 20490 and find the biggest common factor number .

Step-1: Prime Factorization of 20470

Prime factors of 20470 are 2, 5, 23, 89. Prime factorization of 20470 in exponential form is:

20470 = 2¹ × 5¹ × 23¹ × 89¹

Step-2: Prime Factorization of 20490

Prime factors of 20490 are 2, 3, 5, 683. Prime factorization of 20490 in exponential form is:

20490 = 2¹ × 3¹ × 5¹ × 683¹

Step-3: Factors of 20470

List of positive integer factors of 20470 that divides 20470 without a remainder.

1, 2, 5, 10, 23, 46, 89, 115, 178, 230, 445, 890, 2047, 4094, 10235

Step-4: Factors of 20490

List of positive integer factors of 20490 that divides 20470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 683, 1366, 2049, 3415, 4098, 6830, 10245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20470 and 20490. The biggest common factor number is the GCF number.
So the greatest common factor 20470 and 20490 is 10.

Also check out the Least Common Multiple of 20470 and 20490