What is the Greatest Common Factor of 19520 and 19538?

Greatest common factor (GCF) of 19520 and 19538 is 2.

GCF(19520,19538) = 2

We will now calculate the prime factors of 19520 and 19538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19520 and 19538.

How to find the GCF of 19520 and 19538?

We will first find the prime factorization of 19520 and 19538. After we will calculate the factors of 19520 and 19538 and find the biggest common factor number .

Step-1: Prime Factorization of 19520

Prime factors of 19520 are 2, 5, 61. Prime factorization of 19520 in exponential form is:

19520 = 2⁶ × 5¹ × 61¹

Step-2: Prime Factorization of 19538

Prime factors of 19538 are 2, 9769. Prime factorization of 19538 in exponential form is:

19538 = 2¹ × 9769¹

Step-3: Factors of 19520

List of positive integer factors of 19520 that divides 19520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 160, 244, 305, 320, 488, 610, 976, 1220, 1952, 2440, 3904, 4880, 9760

Step-4: Factors of 19538

List of positive integer factors of 19538 that divides 19520 without a remainder.

1, 2, 9769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19520 and 19538. The biggest common factor number is the GCF number.
So the greatest common factor 19520 and 19538 is 2.

Also check out the Least Common Multiple of 19520 and 19538