What is the Greatest Common Factor of 48012 and 48032?

Greatest common factor (GCF) of 48012 and 48032 is 4.

GCF(48012,48032) = 4

We will now calculate the prime factors of 48012 and 48032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48012 and 48032.

How to find the GCF of 48012 and 48032?

We will first find the prime factorization of 48012 and 48032. After we will calculate the factors of 48012 and 48032 and find the biggest common factor number .

Step-1: Prime Factorization of 48012

Prime factors of 48012 are 2, 3, 4001. Prime factorization of 48012 in exponential form is:

48012 = 2² × 3¹ × 4001¹

Step-2: 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-3: Factors of 48012

List of positive integer factors of 48012 that divides 48012 without a remainder.

1, 2, 3, 4, 6, 12, 4001, 8002, 12003, 16004, 24006

Step-4: Factors of 48032

List of positive integer factors of 48032 that divides 48012 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48012 and 48032. The biggest common factor number is the GCF number.
So the greatest common factor 48012 and 48032 is 4.

Also check out the Least Common Multiple of 48012 and 48032