What is the Greatest Common Factor of 19476 and 19480?

Greatest common factor (GCF) of 19476 and 19480 is 4.

GCF(19476,19480) = 4

We will now calculate the prime factors of 19476 and 19480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19476 and 19480.

How to find the GCF of 19476 and 19480?

We will first find the prime factorization of 19476 and 19480. After we will calculate the factors of 19476 and 19480 and find the biggest common factor number .

Step-1: Prime Factorization of 19476

Prime factors of 19476 are 2, 3, 541. Prime factorization of 19476 in exponential form is:

19476 = 2² × 3² × 541¹

Step-2: 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-3: Factors of 19476

List of positive integer factors of 19476 that divides 19476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 541, 1082, 1623, 2164, 3246, 4869, 6492, 9738

Step-4: Factors of 19480

List of positive integer factors of 19480 that divides 19476 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19476 and 19480. The biggest common factor number is the GCF number.
So the greatest common factor 19476 and 19480 is 4.

Also check out the Least Common Multiple of 19476 and 19480