What is the Greatest Common Factor of 19462 and 19470?

Greatest common factor (GCF) of 19462 and 19470 is 2.

GCF(19462,19470) = 2

We will now calculate the prime factors of 19462 and 19470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19462 and 19470.

How to find the GCF of 19462 and 19470?

We will first find the prime factorization of 19462 and 19470. After we will calculate the factors of 19462 and 19470 and find the biggest common factor number .

Step-1: Prime Factorization of 19462

Prime factors of 19462 are 2, 37, 263. Prime factorization of 19462 in exponential form is:

19462 = 2¹ × 37¹ × 263¹

Step-2: Prime Factorization of 19470

Prime factors of 19470 are 2, 3, 5, 11, 59. Prime factorization of 19470 in exponential form is:

19470 = 2¹ × 3¹ × 5¹ × 11¹ × 59¹

Step-3: Factors of 19462

List of positive integer factors of 19462 that divides 19462 without a remainder.

1, 2, 37, 74, 263, 526, 9731

Step-4: Factors of 19470

List of positive integer factors of 19470 that divides 19462 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 59, 66, 110, 118, 165, 177, 295, 330, 354, 590, 649, 885, 1298, 1770, 1947, 3245, 3894, 6490, 9735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19462 and 19470. The biggest common factor number is the GCF number.
So the greatest common factor 19462 and 19470 is 2.

Also check out the Least Common Multiple of 19462 and 19470