What is the Greatest Common Factor of 48042 and 48059?

Greatest common factor (GCF) of 48042 and 48059 is 17.

GCF(48042,48059) = 17

We will now calculate the prime factors of 48042 and 48059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48042 and 48059.

How to find the GCF of 48042 and 48059?

We will first find the prime factorization of 48042 and 48059. After we will calculate the factors of 48042 and 48059 and find the biggest common factor number .

Step-1: Prime Factorization of 48042

Prime factors of 48042 are 2, 3, 17, 157. Prime factorization of 48042 in exponential form is:

48042 = 2¹ × 3² × 17¹ × 157¹

Step-2: Prime Factorization of 48059

Prime factors of 48059 are 11, 17, 257. Prime factorization of 48059 in exponential form is:

48059 = 11¹ × 17¹ × 257¹

Step-3: Factors of 48042

List of positive integer factors of 48042 that divides 48042 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 157, 306, 314, 471, 942, 1413, 2669, 2826, 5338, 8007, 16014, 24021

Step-4: Factors of 48059

List of positive integer factors of 48059 that divides 48042 without a remainder.

1, 11, 17, 187, 257, 2827, 4369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48042 and 48059. The biggest common factor number is the GCF number.
So the greatest common factor 48042 and 48059 is 17.

Also check out the Least Common Multiple of 48042 and 48059