What is the Greatest Common Factor of 19440 and 19460?

Greatest common factor (GCF) of 19440 and 19460 is 20.

GCF(19440,19460) = 20

We will now calculate the prime factors of 19440 and 19460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19440 and 19460.

How to find the GCF of 19440 and 19460?

We will first find the prime factorization of 19440 and 19460. After we will calculate the factors of 19440 and 19460 and find the biggest common factor number .

Step-1: Prime Factorization of 19440

Prime factors of 19440 are 2, 3, 5. Prime factorization of 19440 in exponential form is:

19440 = 2⁴ × 3⁵ × 5¹

Step-2: 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-3: Factors of 19440

List of positive integer factors of 19440 that divides 19440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 243, 270, 324, 360, 405, 432, 486, 540, 648, 720, 810, 972, 1080, 1215, 1296, 1620, 1944, 2160, 2430, 3240, 3888, 4860, 6480, 9720

Step-4: Factors of 19460

List of positive integer factors of 19460 that divides 19440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19440 and 19460. The biggest common factor number is the GCF number.
So the greatest common factor 19440 and 19460 is 20.

Also check out the Least Common Multiple of 19440 and 19460