What is the Greatest Common Factor of 20398 and 20410?

Greatest common factor (GCF) of 20398 and 20410 is 2.

GCF(20398,20410) = 2

We will now calculate the prime factors of 20398 and 20410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20398 and 20410.

How to find the GCF of 20398 and 20410?

We will first find the prime factorization of 20398 and 20410. After we will calculate the factors of 20398 and 20410 and find the biggest common factor number .

Step-1: Prime Factorization of 20398

Prime factors of 20398 are 2, 7, 31, 47. Prime factorization of 20398 in exponential form is:

20398 = 2¹ × 7¹ × 31¹ × 47¹

Step-2: Prime Factorization of 20410

Prime factors of 20410 are 2, 5, 13, 157. Prime factorization of 20410 in exponential form is:

20410 = 2¹ × 5¹ × 13¹ × 157¹

Step-3: Factors of 20398

List of positive integer factors of 20398 that divides 20398 without a remainder.

1, 2, 7, 14, 31, 47, 62, 94, 217, 329, 434, 658, 1457, 2914, 10199

Step-4: Factors of 20410

List of positive integer factors of 20410 that divides 20398 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 157, 314, 785, 1570, 2041, 4082, 10205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20398 and 20410. The biggest common factor number is the GCF number.
So the greatest common factor 20398 and 20410 is 2.

Also check out the Least Common Multiple of 20398 and 20410