What is the Greatest Common Factor of 48032 and 48043?

Greatest common factor (GCF) of 48032 and 48043 is 1.

GCF(48032,48043) = 1

We will now calculate the prime factors of 48032 and 48043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48032 and 48043.

How to find the GCF of 48032 and 48043?

We will first find the prime factorization of 48032 and 48043. After we will calculate the factors of 48032 and 48043 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 48043

Prime factors of 48043 are 107, 449. Prime factorization of 48043 in exponential form is:

48043 = 107¹ × 449¹

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 48043

List of positive integer factors of 48043 that divides 48032 without a remainder.

1, 107, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48032 and 48043. The biggest common factor number is the GCF number.
So the greatest common factor 48032 and 48043 is 1.

Also check out the Least Common Multiple of 48032 and 48043