What is the Greatest Common Factor of 47992 and 48006?

Greatest common factor (GCF) of 47992 and 48006 is 14.

GCF(47992,48006) = 14

We will now calculate the prime factors of 47992 and 48006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47992 and 48006.

How to find the GCF of 47992 and 48006?

We will first find the prime factorization of 47992 and 48006. After we will calculate the factors of 47992 and 48006 and find the biggest common factor number .

Step-1: Prime Factorization of 47992

Prime factors of 47992 are 2, 7, 857. Prime factorization of 47992 in exponential form is:

47992 = 2³ × 7¹ × 857¹

Step-2: Prime Factorization of 48006

Prime factors of 48006 are 2, 3, 7, 127. Prime factorization of 48006 in exponential form is:

48006 = 2¹ × 3³ × 7¹ × 127¹

Step-3: Factors of 47992

List of positive integer factors of 47992 that divides 47992 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 857, 1714, 3428, 5999, 6856, 11998, 23996

Step-4: Factors of 48006

List of positive integer factors of 48006 that divides 47992 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 127, 189, 254, 378, 381, 762, 889, 1143, 1778, 2286, 2667, 3429, 5334, 6858, 8001, 16002, 24003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47992 and 48006. The biggest common factor number is the GCF number.
So the greatest common factor 47992 and 48006 is 14.

Also check out the Least Common Multiple of 47992 and 48006