What is the Greatest Common Factor of 48032 and 48042?

Greatest common factor (GCF) of 48032 and 48042 is 2.

GCF(48032,48042) = 2

We will now calculate the prime factors of 48032 and 48042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48032 and 48042.

How to find the GCF of 48032 and 48042?

We will first find the prime factorization of 48032 and 48042. After we will calculate the factors of 48032 and 48042 and find the biggest common factor number .

Step-1: Prime Factorization of 48032

Prime factors of 48032 are 2, 19, 79. Prime factorization of 48032 in exponential form is:

48032 = 2⁵ × 19¹ × 79¹

Step-2: 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-3: Factors of 48032

List of positive integer factors of 48032 that divides 48032 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 79, 152, 158, 304, 316, 608, 632, 1264, 1501, 2528, 3002, 6004, 12008, 24016

Step-4: Factors of 48042

List of positive integer factors of 48042 that divides 48032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48032 and 48042. The biggest common factor number is the GCF number.
So the greatest common factor 48032 and 48042 is 2.

Also check out the Least Common Multiple of 48032 and 48042