What is the Greatest Common Factor of 47840 and 47848?

Greatest common factor (GCF) of 47840 and 47848 is 8.

GCF(47840,47848) = 8

We will now calculate the prime factors of 47840 and 47848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47840 and 47848.

How to find the GCF of 47840 and 47848?

We will first find the prime factorization of 47840 and 47848. After we will calculate the factors of 47840 and 47848 and find the biggest common factor number .

Step-1: Prime Factorization of 47840

Prime factors of 47840 are 2, 5, 13, 23. Prime factorization of 47840 in exponential form is:

47840 = 2⁵ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 47848

Prime factors of 47848 are 2, 5981. Prime factorization of 47848 in exponential form is:

47848 = 2³ × 5981¹

Step-3: Factors of 47840

List of positive integer factors of 47840 that divides 47840 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 32, 40, 46, 52, 65, 80, 92, 104, 115, 130, 160, 184, 208, 230, 260, 299, 368, 416, 460, 520, 598, 736, 920, 1040, 1196, 1495, 1840, 2080, 2392, 2990, 3680, 4784, 5980, 9568, 11960, 23920

Step-4: Factors of 47848

List of positive integer factors of 47848 that divides 47840 without a remainder.

1, 2, 4, 8, 5981, 11962, 23924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47840 and 47848. The biggest common factor number is the GCF number.
So the greatest common factor 47840 and 47848 is 8.

Also check out the Least Common Multiple of 47840 and 47848