What is the Greatest Common Factor of 19540 and 19552?

Greatest common factor (GCF) of 19540 and 19552 is 4.

GCF(19540,19552) = 4

We will now calculate the prime factors of 19540 and 19552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19540 and 19552.

How to find the GCF of 19540 and 19552?

We will first find the prime factorization of 19540 and 19552. After we will calculate the factors of 19540 and 19552 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 19552

Prime factors of 19552 are 2, 13, 47. Prime factorization of 19552 in exponential form is:

19552 = 2⁵ × 13¹ × 47¹

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 19552

List of positive integer factors of 19552 that divides 19540 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 47, 52, 94, 104, 188, 208, 376, 416, 611, 752, 1222, 1504, 2444, 4888, 9776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19540 and 19552. The biggest common factor number is the GCF number.
So the greatest common factor 19540 and 19552 is 4.

Also check out the Least Common Multiple of 19540 and 19552