What is the Greatest Common Factor of 19474 and 19486?

Greatest common factor (GCF) of 19474 and 19486 is 2.

GCF(19474,19486) = 2

We will now calculate the prime factors of 19474 and 19486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19474 and 19486.

How to find the GCF of 19474 and 19486?

We will first find the prime factorization of 19474 and 19486. After we will calculate the factors of 19474 and 19486 and find the biggest common factor number .

Step-1: Prime Factorization of 19474

Prime factors of 19474 are 2, 7, 13, 107. Prime factorization of 19474 in exponential form is:

19474 = 2¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 19486

Prime factors of 19486 are 2, 9743. Prime factorization of 19486 in exponential form is:

19486 = 2¹ × 9743¹

Step-3: Factors of 19474

List of positive integer factors of 19474 that divides 19474 without a remainder.

1, 2, 7, 13, 14, 26, 91, 107, 182, 214, 749, 1391, 1498, 2782, 9737

Step-4: Factors of 19486

List of positive integer factors of 19486 that divides 19474 without a remainder.

1, 2, 9743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19474 and 19486. The biggest common factor number is the GCF number.
So the greatest common factor 19474 and 19486 is 2.

Also check out the Least Common Multiple of 19474 and 19486