What is the Greatest Common Factor of 19520 and 19525?

Greatest common factor (GCF) of 19520 and 19525 is 5.

GCF(19520,19525) = 5

We will now calculate the prime factors of 19520 and 19525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19520 and 19525.

How to find the GCF of 19520 and 19525?

We will first find the prime factorization of 19520 and 19525. After we will calculate the factors of 19520 and 19525 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 19525

Prime factors of 19525 are 5, 11, 71. Prime factorization of 19525 in exponential form is:

19525 = 5² × 11¹ × 71¹

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 19525

List of positive integer factors of 19525 that divides 19520 without a remainder.

1, 5, 11, 25, 55, 71, 275, 355, 781, 1775, 3905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19520 and 19525. The biggest common factor number is the GCF number.
So the greatest common factor 19520 and 19525 is 5.

Also check out the Least Common Multiple of 19520 and 19525