What is the Greatest Common Factor of 19474 and 19492?

Greatest common factor (GCF) of 19474 and 19492 is 2.

GCF(19474,19492) = 2

We will now calculate the prime factors of 19474 and 19492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19474 and 19492.

How to find the GCF of 19474 and 19492?

We will first find the prime factorization of 19474 and 19492. After we will calculate the factors of 19474 and 19492 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 19492

Prime factors of 19492 are 2, 11, 443. Prime factorization of 19492 in exponential form is:

19492 = 2² × 11¹ × 443¹

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 19492

List of positive integer factors of 19492 that divides 19474 without a remainder.

1, 2, 4, 11, 22, 44, 443, 886, 1772, 4873, 9746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19474 and 19492. The biggest common factor number is the GCF number.
So the greatest common factor 19474 and 19492 is 2.

Also check out the Least Common Multiple of 19474 and 19492