What is the Greatest Common Factor of 19540 and 19560?

Greatest common factor (GCF) of 19540 and 19560 is 20.

GCF(19540,19560) = 20

We will now calculate the prime factors of 19540 and 19560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19540 and 19560.

How to find the GCF of 19540 and 19560?

We will first find the prime factorization of 19540 and 19560. After we will calculate the factors of 19540 and 19560 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 19560

Prime factors of 19560 are 2, 3, 5, 163. Prime factorization of 19560 in exponential form is:

19560 = 2³ × 3¹ × 5¹ × 163¹

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 19560

List of positive integer factors of 19560 that divides 19540 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 163, 326, 489, 652, 815, 978, 1304, 1630, 1956, 2445, 3260, 3912, 4890, 6520, 9780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19540 and 19560. The biggest common factor number is the GCF number.
So the greatest common factor 19540 and 19560 is 20.

Also check out the Least Common Multiple of 19540 and 19560