What is the Greatest Common Factor of 19480 and 19488?

Greatest common factor (GCF) of 19480 and 19488 is 8.

GCF(19480,19488) = 8

We will now calculate the prime factors of 19480 and 19488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19480 and 19488.

How to find the GCF of 19480 and 19488?

We will first find the prime factorization of 19480 and 19488. After we will calculate the factors of 19480 and 19488 and find the biggest common factor number .

Step-1: Prime Factorization of 19480

Prime factors of 19480 are 2, 5, 487. Prime factorization of 19480 in exponential form is:

19480 = 2³ × 5¹ × 487¹

Step-2: Prime Factorization of 19488

Prime factors of 19488 are 2, 3, 7, 29. Prime factorization of 19488 in exponential form is:

19488 = 2⁵ × 3¹ × 7¹ × 29¹

Step-3: Factors of 19480

List of positive integer factors of 19480 that divides 19480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 487, 974, 1948, 2435, 3896, 4870, 9740

Step-4: Factors of 19488

List of positive integer factors of 19488 that divides 19480 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 32, 42, 48, 56, 58, 84, 87, 96, 112, 116, 168, 174, 203, 224, 232, 336, 348, 406, 464, 609, 672, 696, 812, 928, 1218, 1392, 1624, 2436, 2784, 3248, 4872, 6496, 9744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19480 and 19488. The biggest common factor number is the GCF number.
So the greatest common factor 19480 and 19488 is 8.

Also check out the Least Common Multiple of 19480 and 19488