What is the Greatest Common Factor of 19410 and 19430?

Greatest common factor (GCF) of 19410 and 19430 is 10.

GCF(19410,19430) = 10

We will now calculate the prime factors of 19410 and 19430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19410 and 19430.

How to find the GCF of 19410 and 19430?

We will first find the prime factorization of 19410 and 19430. After we will calculate the factors of 19410 and 19430 and find the biggest common factor number .

Step-1: Prime Factorization of 19410

Prime factors of 19410 are 2, 3, 5, 647. Prime factorization of 19410 in exponential form is:

19410 = 2¹ × 3¹ × 5¹ × 647¹

Step-2: Prime Factorization of 19430

Prime factors of 19430 are 2, 5, 29, 67. Prime factorization of 19430 in exponential form is:

19430 = 2¹ × 5¹ × 29¹ × 67¹

Step-3: Factors of 19410

List of positive integer factors of 19410 that divides 19410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 647, 1294, 1941, 3235, 3882, 6470, 9705

Step-4: Factors of 19430

List of positive integer factors of 19430 that divides 19410 without a remainder.

1, 2, 5, 10, 29, 58, 67, 134, 145, 290, 335, 670, 1943, 3886, 9715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19410 and 19430. The biggest common factor number is the GCF number.
So the greatest common factor 19410 and 19430 is 10.

Also check out the Least Common Multiple of 19410 and 19430