What is the Greatest Common Factor of 19460 and 19474?

Greatest common factor (GCF) of 19460 and 19474 is 14.

GCF(19460,19474) = 14

We will now calculate the prime factors of 19460 and 19474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19460 and 19474.

How to find the GCF of 19460 and 19474?

We will first find the prime factorization of 19460 and 19474. After we will calculate the factors of 19460 and 19474 and find the biggest common factor number .

Step-1: Prime Factorization of 19460

Prime factors of 19460 are 2, 5, 7, 139. Prime factorization of 19460 in exponential form is:

19460 = 2² × 5¹ × 7¹ × 139¹

Step-2: 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-3: Factors of 19460

List of positive integer factors of 19460 that divides 19460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 139, 140, 278, 556, 695, 973, 1390, 1946, 2780, 3892, 4865, 9730

Step-4: Factors of 19474

List of positive integer factors of 19474 that divides 19460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19460 and 19474. The biggest common factor number is the GCF number.
So the greatest common factor 19460 and 19474 is 14.

Also check out the Least Common Multiple of 19460 and 19474