What is the Greatest Common Factor of 19520 and 19529?

Greatest common factor (GCF) of 19520 and 19529 is 1.

GCF(19520,19529) = 1

We will now calculate the prime factors of 19520 and 19529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19520 and 19529.

How to find the GCF of 19520 and 19529?

We will first find the prime factorization of 19520 and 19529. After we will calculate the factors of 19520 and 19529 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 19529

Prime factors of 19529 are 59, 331. Prime factorization of 19529 in exponential form is:

19529 = 59¹ × 331¹

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 19529

List of positive integer factors of 19529 that divides 19520 without a remainder.

1, 59, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19520 and 19529. The biggest common factor number is the GCF number.
So the greatest common factor 19520 and 19529 is 1.

Also check out the Least Common Multiple of 19520 and 19529