What is the Greatest Common Factor of 48032 and 48039?

Greatest common factor (GCF) of 48032 and 48039 is 1.

GCF(48032,48039) = 1

We will now calculate the prime factors of 48032 and 48039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48032 and 48039.

How to find the GCF of 48032 and 48039?

We will first find the prime factorization of 48032 and 48039. After we will calculate the factors of 48032 and 48039 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 48039

Prime factors of 48039 are 3, 67, 239. Prime factorization of 48039 in exponential form is:

48039 = 3¹ × 67¹ × 239¹

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 48039

List of positive integer factors of 48039 that divides 48032 without a remainder.

1, 3, 67, 201, 239, 717, 16013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48032 and 48039. The biggest common factor number is the GCF number.
So the greatest common factor 48032 and 48039 is 1.

Also check out the Least Common Multiple of 48032 and 48039