What is the Greatest Common Factor of 48006 and 48011?

Greatest common factor (GCF) of 48006 and 48011 is 1.

GCF(48006,48011) = 1

We will now calculate the prime factors of 48006 and 48011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48006 and 48011.

How to find the GCF of 48006 and 48011?

We will first find the prime factorization of 48006 and 48011. After we will calculate the factors of 48006 and 48011 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48011

Prime factors of 48011 are 41, 1171. Prime factorization of 48011 in exponential form is:

48011 = 41¹ × 1171¹

Step-3: Factors of 48006

List of positive integer factors of 48006 that divides 48006 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

Step-4: Factors of 48011

List of positive integer factors of 48011 that divides 48006 without a remainder.

1, 41, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48006 and 48011. The biggest common factor number is the GCF number.
So the greatest common factor 48006 and 48011 is 1.

Also check out the Least Common Multiple of 48006 and 48011