What is the Greatest Common Factor of 19525 and 19540?

Greatest common factor (GCF) of 19525 and 19540 is 5.

GCF(19525,19540) = 5

We will now calculate the prime factors of 19525 and 19540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19525 and 19540.

How to find the GCF of 19525 and 19540?

We will first find the prime factorization of 19525 and 19540. After we will calculate the factors of 19525 and 19540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19540

Prime factors of 19540 are 2, 5, 977. Prime factorization of 19540 in exponential form is:

19540 = 2² × 5¹ × 977¹

Step-3: Factors of 19525

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

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

Step-4: Factors of 19540

List of positive integer factors of 19540 that divides 19525 without a remainder.

1, 2, 4, 5, 10, 20, 977, 1954, 3908, 4885, 9770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19525 and 19540. The biggest common factor number is the GCF number.
So the greatest common factor 19525 and 19540 is 5.

Also check out the Least Common Multiple of 19525 and 19540