What is the Greatest Common Factor of 19474 and 19484?

Greatest common factor (GCF) of 19474 and 19484 is 2.

GCF(19474,19484) = 2

We will now calculate the prime factors of 19474 and 19484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19474 and 19484.

How to find the GCF of 19474 and 19484?

We will first find the prime factorization of 19474 and 19484. After we will calculate the factors of 19474 and 19484 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 19484

Prime factors of 19484 are 2, 4871. Prime factorization of 19484 in exponential form is:

19484 = 2² × 4871¹

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 19484

List of positive integer factors of 19484 that divides 19474 without a remainder.

1, 2, 4, 4871, 9742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19474 and 19484. The biggest common factor number is the GCF number.
So the greatest common factor 19474 and 19484 is 2.

Also check out the Least Common Multiple of 19474 and 19484