What is the Greatest Common Factor of 19540 and 19550?

Greatest common factor (GCF) of 19540 and 19550 is 10.

GCF(19540,19550) = 10

We will now calculate the prime factors of 19540 and 19550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19540 and 19550.

How to find the GCF of 19540 and 19550?

We will first find the prime factorization of 19540 and 19550. After we will calculate the factors of 19540 and 19550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19550

Prime factors of 19550 are 2, 5, 17, 23. Prime factorization of 19550 in exponential form is:

19550 = 2¹ × 5² × 17¹ × 23¹

Step-3: Factors of 19540

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

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

Step-4: Factors of 19550

List of positive integer factors of 19550 that divides 19540 without a remainder.

1, 2, 5, 10, 17, 23, 25, 34, 46, 50, 85, 115, 170, 230, 391, 425, 575, 782, 850, 1150, 1955, 3910, 9775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19540 and 19550. The biggest common factor number is the GCF number.
So the greatest common factor 19540 and 19550 is 10.

Also check out the Least Common Multiple of 19540 and 19550